A bank offers a CD that pays a simple interest rate of 5.5%. How much must you put in this cd now in order to have $8000 for a kitchen remodeling project in two years? Could you please show work?,

Answers

Answer 1

The CD pays interest at 5.5%, presumably compounded annually at the end of each year. So over the two years, the principal balance will have grown by a factor of 1.055*1.055 = 1.113. Therefore, in order to have $8000 at the end of that time, one would need to start with 8000/1.113 = $7187.60.

Related Questions

Tim predicts he will get 98 points on the next exam. If Tim actually earned 62 points, what was Tim's percent error? Round your answer to the nearest tenth of a percent.

Answers

% change= (new # - original #) ÷ original # x 100

original #= 98
new #= 62

% change= (62-98)/98 x 100
= -36/98 x 100
= -0.36734 x 100
= -36.73%

Rounded to nearest 10th of %= -36.7%

CHECK:
= 98 - (98 * 36.73%)
= 98 - (98 * 0.3673)
= 98 - 36
= 62 new #

ANSWER:
Her percent error was 36.7% (rounded to the nearest tenth of a percent). The negative indicates a decrease.

Hope this helps! :)

Answer: 58.1

Step-by-step explanation:

98 - 62 / 62 = rounds to 58.1 Thank me Later..

A triangular playground has angles with measures in ratio 8: 3: 9 what is the measure of the smallest angle

Answers

8x + 3× + 9x = 180

20x = 180
x = 180/20
x = 9

The smallest angle is: 3×9 = 27 degrees

Note: 180 degrees is the sum of angles in a triangle

Answer:

The measure of the smallest angle is 27°

Step-by-step explanation:

The triangle has angles with measure ratio 8:3:9, so the sizes of the angles are going to change depends on the ratio.

Let’s name the common value as “α”.

Basing on the angle-sum property, we already know that the sum of the angle in a triangle is 180°.

The measure of each one are:

8α, 3α, 9α

The sum of these is 180°.

Then,

8α + 3α + 9α = 180°

Let’s sum similar values:

20α =180°

α= 180°/20

α= 9

Replacing values, we going to find the measure of each angle:

8(9) = 72°

3(9) = 27°

9(9) = 81°

The measure of the smallest angle is 27°

Which expression shows a sum of three terms? (1 point)

3x

3 + x

x^3

x + 3 + x

Answers

The last expression shows the sum of three terms. The sum is the amount resulting in addition.

The answer is x + 3 + x

Answer:

x + 3 + x

Step-by-step explanation:

3x :

This is a product of two terms, where x is any variable.

3 + x :

This is sum of two terms,where x is any variable.

x^3 :

This expresses x to the power of three. It can also be written as (x times x times x ). Thus it is the product of three terms, where x is any variable.

x + 3 + x :

This is the sum of three terms, where x is any variable.

Thus answer is x + 3 + x

Given f(x) =10x-2x find f(7)

Answers

replace x with 7
10(7) -2(7)

70 - 14

56

f(7) = 56

A bakery bakes 10 cakes per hour & had 3 from the day before. What equation represents this?

A.y = 10x + 3
B.y = 3x + 10
C.y = x + 13
D.y = 13x

Answers

y represents the total number of cakes the bakery make.
x represents the number of hours spent

y = 10x + 3

-----------------------------
Answer: 10x + 3
-----------------------------

I need help with this one

Answers

This one is false, since A and B are independent events to say the probability of B given A (this is what P(B|A) means) is equal to P(B) and not P(A).

So this is False

n a recent survey of 50 10-year olds, it was discovered that 14 liked both McDonald's and Burger King. Overall, 36 of the children surveyed liked McDonald's and 24 liked Burger King. How many of the children surveyed did not like either restaurant? Please show your statistical thinking to support your answer.,

Answers

Sample size /Universal Set, n(U) = 50 n(McD ∩ BK) = 14 n(McD) = 36 n(BK) = 24 N(McD ∪ BK) = n(McD)+n(BK)-n(McD ∩ BK) = 36+24-14 = 46 46 respondents like either McDonald's or Burger King. Hence number of children that did not like either restaurant = n(U)-n(McD ∪ BK) = 50-46 = 4

How to find the equation of a circle

Answers

hmmm lemme do the first one only

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{5}{ h},\stackrel{3}{ k})\qquad \qquad radius=\stackrel{2}{ r} \\\\\\ (x-5)^2+(y-3)^2=2^2\implies (x-5)^2+(y-3)^2=4[/tex]

Final answer:

To find the equation of a circle, use the formula (x - h)² + (y - k)² = r², where (h,k) is the center of the circle and r is its radius. You apply this knowledge to other circular calculations, such as the angular velocity or the position and velocity of a moving point on the perimeter of the circle.

Explanation:

Finding the Equation of a Circle

To find the equation of a circle, you need to know the circle's radius (r) and the coordinates of its center (h,k). The general form of the equation is (x - h)² + (y - k)² = r². The values of h and k are the x and y coordinates of the center of the circle, respectively. If you recall the formula for the circumference of a circle, which is 2πr, and the area, which is πr², you can see that these both incorporate the radius of the circle in their calculations, similar to how the radius is used in the equation of the circle. When given certain dimensions or related motion problems, you can substitute known values into the equation to solve for the unknowns.

For example, if a circle has a radius of 5 units and its center is at the point (3,4), the equation would be (x - 3)² + (y - 4)² = 25. To find equations related to circular motion, like in the scenario of a student on a merry-go-round, knowing the radius also allows for determining the angular velocity and the velocity of a shadow or any point moving in circular motion.

Find two numbers, if
Their sum is 3/5 and their difference is 7 1/5

Answers

Let the numbers be represented by x and y.
.. x + y = 0.6
.. x - y = 7.2
Add these equations to get
.. 2x = 7.8
.. x = 3.9
Then you can find y from
.. y = 0.6 -3.9 = -3.3

The two numbers are -3.3 and 3.9.

Answer:

3.9 and -3.3

Step-by-step explanation:

Identify the GCF of 10x4y3 − 5x3y2 + 20x2y.

10x2y

10x3y

5x2

5x2y

Answers

The GCF, or greatest common factor, is the greatest positive integer that evenly multiplies to make the numbers in the set. For simple numbers, GCF(12, 80, 44) is 4.

The strategy for expressions with variables is still to factor out the greatest term.

For [tex]10x^4y^3-5x^3y^2+20x^2y[/tex], we look for the largest factor in each term.

For [tex]10x^4y^3[/tex], the largest factors are [tex]x^4[/tex] and [tex]y^3[/tex]. We'll come back to the coefficients in a minute.

For [tex]-5x^3y^2[/tex], the largest factors are [tex]x^3[/tex] and [tex]y^2[/tex]. Now, looking back to the previous term and also considering the coefficients, the largest factor of the two is [tex]5x^3y^2[/tex]. You could rewrite the first term as [tex](5x^3y^2)(2xy)[/tex] and the second term as [tex]-1(5x^3y^2)[/tex].

Now, we consider the last term, [tex]20x^2y[/tex]. The largest factor common to the two other terms is [tex]5x^2y[/tex].

And that's our final answer for the GCF (answer D).

Answer:

The GCF of the given expression is:

[tex]5x^2y[/tex]

Step-by-step explanation:

The GCF ( greatest common factor ) is the greatest divisor which divides all the terms completely.

Here we have the expression as:

[tex]10x^4y^3-5x^3y^2+20x^2y[/tex]

Here we see that the factors of the first term are:

[tex]10x^4y^3=2\times 5\times x\times x\times x\times x\times y\times y\times y[/tex]

The factor of the second term is:

[tex]-5x^3y^2=-1\times 5\times x\times x\times x\times y\times y[/tex]

and the factor of the third term is:

[tex]20x^2y=2\times 2\times 5\times x\times x\times y[/tex]

i.e. the factor which is common to all the three terms are:

[tex]5\times x\times x\times y=5x^2y[/tex]

Hence, the GCF is: [tex]5x^2y[/tex]

PLEASE HELP ASAP!!! WILL GIVE BRAINLIEST!!!

Two florist purchased flower bouquets and vases at the same store. The first florist bought 2 flower bouquets and 2 vases for a total of $12.50. The second florist bought 8 flower bouquets and 2 vases for a total of $29.00.

Let b represent the cost of one flower bouquet and v represent the cost of one vase. Write AND SOLVE a system of equations to find the price of each type of arrangement. SHOW ALL WORK!

THANKS FOR ALL YOUR HELP

Answers

2f + 2v = $12.50
8f + 2v = $29.00

-2f. - 2v = -12.50
8f + 2v = 29.00

6f = $16.50

f= $2.75 each flower bouquet

2(2.75) + 2v = 12.50

5.50 + 2v = 12.50

2v = $7.00

v = $3.50 each vase

n quadrilateral LMNO, LO ∥ MN. What additional information would be sufficient, along with the given, to conclude that LMNO is a parallelogram? Check all that apply. ML ∥ NO ML ⊥ LO LO ≅ MN ML ≅ LO MN ⊥ NO

Answers

Answer: The correct options are

(A) ML ∥ NO,

(C) LO ≅ MN.

Step-by-step explanation: Given that in quadrilateral LMNO, LO ∥ MN.

We are to select the correct additional information that would be sufficient along with the given information to conclude that LMNO is a parallelogram.

PARALLELOGRAM: A parallelogram is a quadrilateral if ine of the following conditions are satisfied:

(i) Two pairs of opposite sides parallel

(ii) one pair of opposite sides parallel and congruent.

The given condition is

LO ∥ MN.

So, the other additional sufficient condition will be

either the other pair of opposite sides parallel, i.e., ML ∥ NO,

the same pair of parallel sides are congruent, i.e, LO ≅ MN.

Thus, the correct statements are ML ∥ NO and LO ≅ MN.

Option (A) and (C) are correct.

Answer:

a and c

Step-by-step explanation:

PLEASE HELP PLEASE HURRY!!!!!!!!!
BRAINLIEST AVAILABLE

Answers

Rule for 1 is the rule for 1 is 14 times 3.5^x and it is exponential

The second one is is also exponential and the rule is 32 times .25^x and the last one is is linear and the rule is 5x+-4

I'm just going to give you the answers. You can figure out how they were obtained. Actually the hints are at the bottom of your exercise. You need only juggle them a bit to get the answers.

1]
y = 14 * (7/2)^x This is never going to linear.

2]
y = 32/(4)^x This also is not linear.

3]
y = 5x - 4 This one is linear

If you have a graphing calculator, you might think about graphing these three. The questions are a bit of by guess and by golly. You just have to keep on trying things until you get it. Look at 0 as an x value first.

helpppppppppppppppppppp

Answers

For this case, the first thing to do is to see the behavior of the function when evaluating some values.
For the function:
y = exp (x) -4
We see that for x = 0 we have:
y = exp (0) -4
y = 1-4
y = -3
Which is consistent with the graph.
Answer:
y = exp (x) -4
option 4

if f(x)=5x-1 thenF-1(x)

Answers

-then F+4x hope it is in your chooses

There are 18 animals and 40 legs in all so lets see how many cows could be born. 4,8,16,12,24,28,32,36,40. so there could be 9 cows and now lets see on chickens 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40. so the could be 20 chickens so if u think. i think the ancewer is 30 chickens and 10 cowws thx!!!!

Answers

--------------------------------------
Given information
--------------------------------------
Total animals = 18
Total legs = 40

--------------------------------------
Assumed all are chickens
--------------------------------------
Total legs = 18 x 2 = 36

--------------------------------------
Calculate extra legs
--------------------------------------
40 - 36 = 4

--------------------------------------
Difference in legs between the cow and chicken
--------------------------------------
4 - 2 = 2

--------------------------------------
Find the number of cows
--------------------------------------
4 ÷ 2 = 2

--------------------------------------
Find the number of chickens
--------------------------------------
18 - 2 = 16

--------------------------------------
Answer: 16 chickens and 2 cows
--------------------------------------

39 is 75% of what number

Answers

Hi!

IF 39 is 75%, divide 39 by 3.

39/3= 13

Multiply that by 4.

13*4= 52

39 is 75% of 52.

Have a nice day!

Which equation finds the value of x in the triangle below?

Answers

we have that

1) cot 70=x/12

Cot 70=[opposite side]/[adyacent side]=x/12

The option 1 is correct

2) cot 70=12/x

Cot 70=[opposite side]/[adyacent side]=x/12

The option 2 is not correct

3)sec 20=x/12

Sec 20 =1/cos20

Cos 20==[opposite side]/[hypotenuse]=12/z

1/(1/cos20)-------> 1/(12/z)------> z/12

The option 3 is not correct

4) sec 20=12/x

Sec 20 =1/cos20

Cos 20==[opposite side]/[hypotenuse]=12/z

1/(1/cos20)-------> 1/(12/z)------> z/12

The option 4 is not correct

the correct value is
1) cot 70=x/12

Answer:

A: cot 70 degrees = x/12

Step-by-step explanation:

on edg... Good Luck!!!

Complete the synthetic division problem below. What is the quotient in polynomial form?

Answers

The polynomial would be 2x+5.

We bring down the first number inside the box, 2, unchanged.

_______
-1| 2 7 5
_______
2

Now we multiply that 2 by the number outside, -1:
_______
-1| 2 7 5
-2
2

Now we add the two numbers in the middle column:
________
-1| 2 7 5
-2
2 5

Multiply the 5 we brought down by the -1:
________
-1| 2 7 5
-2 -5
2 5

Add the numbers in the last column:
________
-1| 2 7 5
-2 -5
2 5 0

The 3 numbers under the box represent the coefficients of x² and x, as well as the constant. When we finish, we no longer have an x², but start at the next level down, which would be x. 2 would be the coefficient of x and 5 would be the constant, with 0 remainder.

PLEASE HELP ME ON THIS QUESTION AND DON'T FORGET TO EXPLAIN!!!

Please show ur work and correct answer will get brainliest

Answers

Here is one answer that's possible
f(x) [3rd one down] added to the middle g(x) should give you h(x)
f(x)_down 3 + g(x)_middle_g(X)_second column = -2x + 3 + 7x - 9 Now collect the like terms.
f(x) + g(x) = 5x - 6 which is h(x).

These guys sure believe in reading problems.

helppppppppppppppppp

Answers

Answer:
14.1 in

Explanation:
The equation relating the length of arc, radius of circle and angle is:
S = rθ
where:
S is the length of the arc
r is the radius of the circle = 6 in
θ is the angle in radians = 135 degrees = (135*π) / 180 = 0.75 π radian

Substitute with the givens in the above equation to get the length of the arc as follows:
S = rθ
S = 6 * 0.75π
S = (9/2) π which is approximately 14.1in

Hope this helps :)

William works at a nearby electronics store. He makes a commission of 6 % 6%6, percent on everything he sells. If he sells a computer for $ 7 6 4 . 0 0 $764.00dollar sign, 764, point, 00, how much money does William make in commission?

Answers

For this case, what we can do is solve the problem using the following rule of three:
$ 764 ----> 100%
$ x --------> 6%
We clear the value of x:
x = (6/100) * (764)
x = 45.84 $
Answer:
William makes $ 45.84 in commission

Answer:

x = 45.84 $

late but i need points

Step-by-step explanation:

What happens to the surface area of a rectangular prism when each of the dimensions is doubled? (1 point) i?

Answers

The surface area will be 4 times the original size. Here is why: You are doubling each dimension, and area is a 2 dimensional measurement. Because of this whatever you are doing to the length of the side will happen 2 times. In this case it would be x2 x2 which equals 4. You can provide evident by using a cube. The surface area of a cube with side lengths of 1 would be 1 x 6=6 square inches. If you double the side length, it would be 4 x 6= 24 square inches.

Final answer:

The surface area of a rectangular prism increases by four times when each of the dimensions is doubled because surface area scales in proportion to the square of the linear dimensions.

Explanation:

When the dimensions of a rectangular prism are doubled, the surface area of the prism increases by a factor of four. This is because the surface area is proportional to the square of the linear dimensions. If the length, width, and height of the prism are doubled, the new surface area (A') compared to the original surface area (A) is calculated as follows:

A' = 2l × 2w + 2l × 2h + 2w × 2h

A' = 4(lw + lh + wh)

A' = 4A

Thus, if each dimension is doubled, the surface area increases by four times.

Emily’s pet snake is 5 feet long. Kristen’s snake is 50 inches long. Kristen says her snake is much longer because 50 is so much bigger than 5. Is Kristen right? Why or why not?

Answers

kristen is wrong because 50 inches as feet is 4 feet and 2 inches so therefore emily snake is longer

Evaluate the expession. x=12, y=8, z=3 4x-yz

Answers

Given:
x=12, y=8, z=3

4x-yz = 4(12) - (8)(3)
4x-yz = 48 - 24
4x-yz = 24

The value of the given expression is 24.

The given expression is 4x-yz.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Put, x=12, y=8 and z=3 in the given expression, we get

4x-yz = 4×12 - 8×3

= 48 - 24

= 24

Therefore, the value of the given expression is 24.

To learn more about an expression visit;

https://brainly.com/question/28170201.

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The mean weight of five complete computer stations is 167.2 pounds. The weights of four of the computer stations are 158.4 pounds, 162.8 pounds, 165 pounds, and 178.2 pounds respectively. What is the fifth computer station?

Answers

The mean weight of five complete computer stations is 167.2 pounds.

The weights of four of the computer stations are 158.4 pounds, 162.8 pounds, 165 pounds, and 178.2 pounds.

We have to determine the weight of fifth computer station.

Let the weight of fifth computer station be 'x' pounds.

Mean is calculated by sum of all the observations divided by the total number of observations.

So, [tex] \frac{158.4+162.8+165+178.2+x}{5}=167.2 [/tex]

[tex] \frac{664.4+x}{5}=167.2 [/tex]

[tex] {664.4+x}=167.2 \times 5 [/tex]

[tex] {664.4+x}=836 [/tex]

x= 171.6 pounds

The weight of fifth computer station is 171.6 pounds.

Final answer:

To find the weight of the fifth computer station, subtract the sum of the weights of the four given stations from the mean weight.

Explanation:

The mean weight of five complete computer stations is 167.2 pounds. To find the weight of the fifth computer station, we can calculate the sum of the weights of all five stations and then subtract the sum of the weights of the four given stations. The weight of the fifth station can be found by subtracting the sum of the weights of the four given stations from the mean weight.

Sum of the weights of all five stations = 5 * 167.2 pounds

Sum of the weights of the four given stations = 158.4 pounds + 162.8 pounds + 165 pounds + 178.2 pounds

Weight of the fifth station = Sum of the weights of all five stations - Sum of the weights of the four given stations

Learn more about Mean Weight here:

https://brainly.com/question/23580532

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Lines AB and CD are parallel. If the measure of W equals 129°, what is the measure of X?

Answers

30 is the answer of x

what’s the inverse of y=4x^2-2

Answers

Interchange the x and y and solve for the resulting y.
x = 4y^2 - 2
(x + 2) = 4y^2
(x + 2)/4 = y^2
+/- sqrt(x + 2)/2 = y

The graph of these two is below.

The original is in red
The inverse is in blue and green

(x+10)+(3x+2)=180
What is x

Answers

Hi there!

To solve this problem, we need to simplify.

(x + 10) + (3x + 2) = 180
x + 3x + 10 + 2 = 180

We combine like terms first:
4x + 12 = 180

And isolate x.
4x = 168

Now, we divide both sides of the equation by 4 to solve for x.
x = 168 ÷ 4

x = 42

Hope this helps!

Hi there (: I hope this helps:

Step 1: Simplify both sides of the equation.x+10+3x+2=180(x+3x)+(10+2)=180 (Combine Like Terms)4x+12=1804x+12=180
Step 2: Subtract 12 from both sides.4x+12−12=180−124x=168
Step 3: Divide both sides by 4.4x/4=168/4
x=42

Which of the following is the image of A after a rotation of -90° about the origin?

(0, -2)
(0, 2)
(-2, 0)

Answers

A would be located at (0,-2)

Answer:

Option A. (0, -2)

Step-by-step explanation:

In the given graph coordinates of point A are (2, 0).

Now this point is rotated by -90° about the origin, that means rotation has been done clockwise by 90°.

Now after rotation this point A will lie on the negative side of the y-axis and the new coordinates become (0, -2).

Therefore, option A. (0, -2) is the correct option.

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