After 7 years, Abner earned $1575 in simple interest from a CD into which he initially deposited $6000. What was the annual interest rate of the CD?

Answers

Answer 1

The answer is C. 3.75%

Answer 2

The annual interest rate of the CD was 3.75 %

Explanation

Simple Interest formula is : [tex] I =P*r*t [/tex] , where [tex] I= [/tex] Amount of interest, [tex] P= [/tex] Principal/Initial amount, [tex] r= [/tex] rate of interest in decimal form and [tex] t= [/tex] time in years

Here Abner earned $1575 in simple interest and he initially deposited $6000. So, [tex] I=1575 [/tex] dollar and [tex] P= 6000 [/tex] dollar

Also given that, [tex] t = 7 [/tex] years

Now according to the formula...

[tex] I= P* r*t\\ \\ 1575= 6000*r*7\\ \\ 1575= 42000*r\\ \\ r= \frac{1575}{42000}= 0.0375 [/tex]

For getting the interest rate in percentage, we will multiply it by 100%. So... (0.0375 × 100) % = 3.75 %

So, the annual interest rate of the CD was 3.75 %

Related Questions

Rebecca is planting an orange grove that covers 32 acres she uses the same amount of ground space for each tree Rebecca plants 15 trees in a section of the grove that measures 250 feet by 25 feet what is the population density of this section of the grove use 1 acre= 43,560 square feet

Answers

Area of the garden that 15 trees are planted will be:
Area=250×25=6250 ft²
but 1 acre= 43560 ft²
thus converting our area to acres we get:
6250/(43560)
=0.1435 acres
thus the population density will be:
(Population)/(area)
=15/0.1435
=104.544 trees/acre

Jayden wants to find the dimensions of this parallelogram. He knows that the first step is to find the value of x. Which of these equations will result in the correct value of x?

A. 2x – 1 = x + 8

B. 2x – 1 = x + 1

C. x + 1 + 2x – 1 = 180

D. x + 1 = x + 1

Answers

In a parallelogram opposite sides are equal. So in your picture, you either have x + 1 = x + 1, or x + 8 = 2x - 1. Since the 1st equation will give you 0 = 0, which will not help at all. So you gave to do the other equation x + 8 = 2x - 1 or B

Answer:

2x – 1 = x + 8

Step-by-step explanation:

Find the volume of a cube that is 7 cm on each edge.

Answers

WE KNOW THAT THE VOLUME OF THE CUBE IS '
V=a^3
our a=7
V=343 cm^3

Final answer:

The volume of a cube with each edge measuring 7 cm is calculated using the formula V = s^3, which results in a volume of 343 cubic centimeters (cm3).

Explanation:

To find the volume of a cube that is 7 cm on each edge, we use the formula for the volume of a cube, which is V = s3, where s is the length of one side of the cube. In this case, s is 7 cm. Therefore, the volume can be calculated as follows:

V = 7 cm imes 7 cm imes 7 cm = 343 cm3

So the volume of the cube is 343 cubic centimeters (cm3).

What is the vertex of the absolute value function defined by f (x) = |x - 7| + 1?

A. (7,1)

B. (-7, -1)

C. (-7, 1)

D. (7, -1)

Answers

The vertex of function y = |x| is (0; 0).
We have: f(x) = |x - 7| + 1
shift the graph of the function y = |x| 7 units right and 1 unit up. Then the vertex of function f is (7; 1).
Your answer is A. (7; 1)
Look at the picture.

!!!!!!!!!!!!!which answe

Answers

Question: "A coin is tossed 8 times. Find the probability P(of exactly 6 occurrences of tails)"

Answer:
When we toss a coin we have 50% of probability to get a tail and 50% probability to get heads.

If we toss the coin 8 times, in order to find P(T=6), we need to use the binomial distribution:
[tex]P = \frac{n!}{k!(n-k)!} p^{k} (1-p)^{n-k} [/tex]
where:
n = total number of events
k = number of successes we want
p = probability of success

Therefore:
[tex]P(T=6) = \frac{8!}{6!(2)!} 0.5^{6} (1-0.5)^{2} [/tex]
= 28 · 0.015625 · 0.25
= 0.109375

Hence, the probability of getting 6 tails out of 8 tosses is D) 10.94%.

Answer:

I think it's D

Step-by-step explanation:

Aaron took three times as many pictures as jennifer.jennifer has 16 fewer pictures than aaron.which system of equations can be used to find the number of oictures each person took?

Answers

A=Aaron
J=Jennifer
a=3j
j=a-16

Assume we have two lines which are perpendicular. If one line has a slope of 3, what is the slope of the other line? Enter your answer as an integer or fraction in lowest terms.

Answers

Final answer:

The slope of a line perpendicular to a line with a slope of 3 is -1/3. This is because perpendicular lines have negative reciprocal slopes.

Explanation:

In mathematics, when two lines are perpendicular, their slopes are negative reciprocals of each other because the product of their slopes equals to -1. This means that if one line has a slope of 3, the slope of the other line would be the negative reciprocal of 3, which is -1/3. So, the slope of the other line is -1/3.

To understand this further, let's delve into the figure of Slope and the Algebra of Straight Lines. Here, 'm' represents the slope which is the rise over the run and 'b' is the y-intercept, which is the point at which the line crosses the y-axis. Considering the fact that the slope of the line is 3, there is an increase of 3 in the y-coordinate (or vertical axis) for every increase of 1 in the x-coordinate (or horizontal axis).

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A triangle has sides with lengths: 6, 9, and 5. How do you find the area of the triangle using Heron's formula?

Answers

Area of triangle=Δ=√s(s-a)(s-b)(s-c)
a=6
b=9
c=5
s=(a+b+c)/2
s=(6+9+5)/2
s=10
Δ=√10(10-6)(10-9)(10-5)
Δ=10√2 sq. units
OR
Δ=14.14 sq. units

What’s the answer for No.29 & 30 please hurry

Answers

29) replace Y in the 2nd equation with the first equation and solve:

4x -3(2x-3) = 31

distribute the -3(2x-3)

4x-6x+9 = 31

combine 4x-6x

-2x +9 = 31

subtract 9 from each side

-2x = 22

divide both sides by -2 to get x

x = 22 / -2 = -11

x = -11

now replace x in the first equation with -11 to solve for y

y = 2(-11) -3
y = -22 -3
y = -25

x = -11, y = -25 which is (-11,-25) so A is the correct answer

30) the solution is where the 2 lines cross which is at X = 2 and Y = 4 which is (2,4) so B is the correct answer

Find the ranges of the function ƒ(x) = |x + 4| + 1 and the range of the exponential function g(x) represented by the graph below.
Are they the same? Explain.

Answers

Short answer: No
One of the ways you can answer this question is to graph both of the functions. You already have the graph of one of them. I've made the other one for you.

They don't look very much alike, do they?

You are asked for the ranges. The range of your graph is ∞ > y ≥ 1 which includes all the reals within that boundary.

The value of the range of the absolute value graph is ∞ > y ≥ 1 which includes all the reals within that boundary.

The graphs are not the same but the ranges are the same are the same <<< answer.

Find the missing values given that cos(theta) = 1.
Sin(Theta):
Csc(Theta)
Sec(Theta):
Cot(Theta):

Answers

we know that
cos(theta) = 1---------> the value of cos is positive
then
angle theta------> could be in the first or fourth quadrant

Part 1) find sin theta
sin² theta+cos² theta=1------> sin² theta=1-cos² theta----> 1-1²----> 0
sin theta=0

Part 2) find csc theta
csc theta=1/sin theta
but sin theta =0
therefore
csc theta-------> it does not exist, it is not defined

Part 3) find sec theta
sec theta=1/cos theta
cos theta=1
so sec theta=1/1----> sec theta=1

Part 4) find cot theta
cot theta=cos theta/sin theta
but sin theta=0
therefore
cot theta-------> it does not exist, it is not defined

A graph of a linear function intersects the coordinate axes in points (1, 0) and (0, 2). What is the equation of this function?
Please answer! Thank you!!!

Answers

To find the equation:

1) Find the slope : m=y2-y1/x2-x1 = 2-0/0-1 = 2/-1 = -2
2) y-y1 = m(x-x1)
y-0 = -2(x-1)
y = -2x + 2

The equation would be y = -2x + 2

slope of the line = (2-0) / 0-1) = -2
y-y1 = -2(x - x1) where (x1,y1) is a point on the line
use x1 = 1 and y1 = 0:-
y = -2(x - 1)

answer is y = -2x + 2

Which one is it? Will give brainiest

Answers

180° - [180° - (34° + 103°)]
180° - 180° + 34° + 103°
34° + 103°
137°
~C

Determine whether quantities vary directly or inversely and find the constant of variation. It takes four identical water pumps 6 hours to fill a pool. How long would it take three of these same pumps to fill the pool, assuming they all pump at the same rate?

Answers

Let the number of water pumps be n and the time taken to fill the pool is t.

Now, we can see that higher the number of water pumps, lesser the time to fill the pool.

It means quantities vary indirectly.

Thus, [tex]n=\frac{k}{t} , \text{ where k is the constant of variation}[/tex]

Now, we have been given that It takes four identical water pumps 6 hours to fill a pool.

Thus, we have

[tex]4=\frac{k}{6} \\ \\ k=24[/tex]

Hence, constant of variation is 24.

Now, we have to find the time that three pumps will take to fill the same pool.

[tex]3=\frac{24}{t} \\ \\ 3y=24\\ \\ y=\frac{24}{3} \\ \\ y=8[/tex]

Hence, it will take 8 hours to fill the pool by three identical pumps.

Solve for m -20+14m=10m+16

Answers

-20+14m=10m+16
-10m. -10m
-20+4m=16
+20. +20
4m=36
/4. /4
m=9

Solve 5x = 10x - 5(2x-3) for x. Show your work.

Answers

Eliminate parentheses using the distributive property.

... 5x = 10x -10x +15

Collect terms, then divide by the coefficient of x.

... 5x = 15

... x = 3

What is the sum of the arithmetic sequence 153, 139, 125, ..., if there are 22 terms?

Answers

The sum of an Arithmetic series can be calculated as:

[tex] S_{n} = \frac{n}{2}(2 a_{1}+(n-1)*d) [/tex]

n = number of terms = 22
a1 =First Term of the series = 153
d = Common Difference = 139 - 153 = -14

So, using the values, we get:

[tex] S_{22}= \frac{22}{2}(2*153+(22-1)*(-14)) \\ \\ S_{22}=132[/tex]

This means, the sum of first 22 terms of the series will be 132.

Answer:

Sum of the sequence = 132.

Step-by-step explanation:

The given sequence is 153, 139, 125,.......n terms.

Sum of the arithmetic sequence will be

S = n/2[2a + (n -1)d]

where n = number of terms

a = first term of the sequence

d = common difference

for the given sequence

a = 153

n = 22

d = 139 - 153 = -14

Therefore sum of 22 terms of the sequence will be

S = (22/2)[2×153 - (22-1)14]

= 11×[306 - 21×14]

= 11×[306 - 294] = 11×12 = 132

Sum of 22 terms of this sequence is 132.

The spring has a stiffness k=200n/m and is unstretched when the 25 kg block is at

a. Determine the acceleration of the block when s=0.4m. The contact surface between the block and the plane has

Answers

Final answer:

This is a Physics problem involving Hooke's Law and Newton's second law of motion. The acceleration of a 25kg block when a spring it's resting on is extended by 0.4m is determined. The calculated acceleration is -3.2m/s², indicating the direction is opposite to the direction of displacement.

Explanation:

The subject matter of this question is physics, specifically the area of mechanics dealing with forces, mass, and acceleration (Newton's Laws). The stiffness of a spring is given as k=200N/m and it is unstretched when the 25 kg block is resting on it. We're tasked with finding the acceleration of the block when the spring is extended by s=0.4m.

Firstly, let's find the force on the block using Hooke's Law which states that the force exerted by a spring is equal to the spring constant times the displacement (F=-kx). So, F=-200N/m*(0.4m)=-80N. The negative sign just indicates that the force is in the opposite direction of the displacement.

Secondly, we apply Newton's second law of motion (F=ma), where m is the mass and a is the acceleration. Rearranging the equation to find acceleration gives us a=F/m. Substituting our values gives a=-80N/25kg = -3.2m/s². The negative sign here indicates the direction of the acceleration, opposite to the direction of displacement. So, the acceleration of the block when the spring is extended by 0.4m is -3.2m/s².

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how do you evaluate 71 - b, if b is 27

Answers

if you subtract 71 and 27, you will get 44

If you take 5 quizzes and get scores of 95%, 95%, 80%, 85%, and 75%, how would you find your mean quiz score?

Answers

Add all of the numbers together and divide by 5. The average ends up being 86.

The mean of the quiz scores is given by the equation M = 86 %

What is Mean?

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the mean of the quizzes be represented as M

Now , the equation will be

Let the number of quizzes be n = 5

Let the scores of each quizzes be represented by set A

Set A = { 95% , 95%, 80%, 85%, 75% }

So , the mean of the quizzes M = sum of the quizzes / number of quizzes

Substituting the values in the equation , we get

The mean of the quizzes M = ( 95% + 95% + 80% + 85% + 75% ) / 5

The mean of the quizzes M = ( 430/5 )

The mean of the quizzes M = 86 %

Therefore , the value of M is 86 %

Hence , the mean of the quizzes is 86 %

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divide (x^3-20x+16)divide (x-4)

Answers

Your answer is x² + 4x - 4

hey mate
here is your answer
mark it as brainliest if it is helpful to you......

PLEASE HELP ME FIND THE VALUE OF X
25 POINTS

Answers

right triangle so
Pythagorean theorem:
c^2 = a^2 + b^2
a = 6 and c =√117
to find b:
b^2 = c^2 - a^2
b^2 = (√117)^2 - 6^2
b^2 = 117 - 36
b^2 = 81
b = √81
b = 9

answer:
x = 9 cm

Answer:

the answer is x = 9 cm

Step-by-step explanation:

Eliminate the parameter to find a cartesian equation of the curve. x = 3sin(t), y = 4cos(t)

Answers

Final answer:

To eliminate the parameter and find the cartesian equation of the curve x=3sin(t), y=4cos(t), we can use trigonometric identities. The cartesian equation of the curve is (x/3)^2 + (y/4)^2 = 1.

Explanation:

To eliminate the parameter and find the cartesian equation of the curve x=3sin(t), y=4cos(t), we can use trigonometric identities. Starting with the given equations:

x = 3sin(t)

y = 4cos(t)

We can rewrite the equation for x as:

x/3 = sin(t)

And the equation for y as:

y/4 = cos(t)

Using the identities sin2(t) + cos2(t) = 1, we can square both equations and add them together:

(x/3)2 + (y/4)2 = (sin2(t) + cos2(t)) = 1

This is the cartesian equation of the curve.

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Mrs. rifkin had 84 oranges. 24 of her oranges were rotten; the rest were either ripe or unripe. there were 18 more ripe oranges than unripe oranges. find the ratio of the number of ripe oranges to the number of rotten oranges to the number of unripe oranges.

Answers

84 oranges - 24 rotten = 60 oranges that are either ripe or unripe Let x = number of unripe orangesLet x + 18 = number of ripe oranges You know that the number of ripe oranges plus the number of unripe oranges is equal to 60 (x) + (x + 18) = 60 Subtract 18 from each side x + x = 42 x + x is the same as 2x, so 2x = 42 Divide each side by 2 2x/2 = 42/2 The 2s on the left side cancel out x = 21 So the number of unripe oranges is 21 The number of ripe oranges is x + 18,which is 21 + 18 = 39 So the number of ripe oranges is 39

39:24:21
There were 39 ripe oranges
There were 24 rotten oranges
and there were 21 unripe oranges
for a total of 84 oranges.

Can derivatives be used to measure the the slope of the tangent line at x=a

Answers

Yes. In fact, that is basically the definition of a derivative. It is the instantaneous rate of change of a function.

For example, picture the graph of the following function:

[tex]f(x) = x^2[/tex]

The slope is constantly changing at every x-value, so to find the slope at x=a, we find the derivative of the function.

[tex]f'(x)=2x[/tex]

Once we have the derivative, simply plug in a for x to find the slope of the line tangent to f(x) at x=a.

For example, at x=5:

[tex]f'(5)=2(5)[/tex]

The slope of f(x) at x=5 is 10.

A gas station sells regular gas for $2.20 per gallon and premium gas for $3.00 a gallon. at the end of a business day 300 gallons of gas has been sold, and receipts totaled $700. how many gallons of each type of gas had been sold

Answers

You can use a system of equations to answer this question.

1st: 2.20r + 3p = 700 is showing how to get the total cost.
2nd: r + p = 300 shows how many gallons were sold.

If we solve r + p = 300 for r, we can then solve the first equation in terms of r only.

r + p =300
p = 300 - r Use this in place of p in the first equation.

2.20r + 3p = 700
2.2r + 3(300 - r) = 700
2.2r + 900 - 3r = 700
-900 -900
2.2r - 3r = -200
-0.8r = -200
-0.8 -0.8
r = 250 gallons

There were 250 regular gallons sold and 50 premium gallons sold (300 - 250).

if a recipe calls for 0.800 kg of flour , about how many ounces of flour does it need? (1lb=16 oz, 1 lb = 0.454 kg )

5.8 oz

11.0oz

28.2oz

227oz

Answers

For this case we must take into account the following conversions of units:
1lb = 16 oz
1 lb = 0.454 kg
Applying the conversion of units we have:
(0.800) * (1 / 0.454) * (16/1) = 28.1938326
Rounding off we have:
28.2 oz
Answer:
it needs 28.2 oz of flour

Answer: The correct option is (C) 28.2 oz.

Step-by-step explanation: Given that a recipe calls for 0.800 kg of flour.

We are to find the number of ounces of flour that the recipe needs.

Given that

1 lb=16 oz and 1 lb = 0.454 kg

We will be using the UNITARY method for solving the given problem.

We have

0.454 kg = 1 lb

So, 1 kg will be equal to [tex]\dfrac{1}{0.454}~\textup{lb}.[/tex]

Therefore, 0.8000 kg is equal to

[tex]\dfrac{1}{0.454}\times 0.800=1.762~\textup{lb}.[/tex]

Now, 1 lb = 16 oz.

So, 1.762 lb = 16 × 1.762 = 28.19 = 28.2 oz.

Thus, the recipe needs 28.2 oz of flour.

Option (C) is CORRECT.

The coach attempts to determine an association between shirt size and hat size. Which is most likely true?

Answers

It would be shirt size

Answer:

There is likely an association because 0.8 is not similar to ≈ 0.33.

Please help with geometry

Answers

Use:[tex]A_\Delta=\dfrac{1}{2}ab\sin\alpha[/tex]
[tex]a=503ft=\dfrac{503}{3}yd\approx168yd\\\\b=516ft=\dfrac{516}{3}yd=172yd\\\\\sin38^o\approx0.616[/tex]
Substitute:
[tex]A_\Delta=\dfrac{1}{2}\cdot168\cdot172\cdot0.616\approx8,877yd^2[/tex]

In the figure above, Angle FEB is a central angle. True or False?

A. True
B. False

Answers

False
A central angle is formed at the center of the circle (C).

We know that the central angle is an angle subtended at the center of the circle by any two points on the circle.

In the given figure of the circle, the center of the circle is C. Hence, the central angle must be subtended at the center C.

Since, angle FEB is not subtended at the center of the circle.

Hence, angle FEB is not a central angle.

Therefore, the given statement is FALSE.

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