. Stephen deposited $1800 into a savings account for which interest is compounded weekly at a rate of 3.2%. How much interest will he earn after 10 years?
58.81
678.59
2478.59
im just putting this up to see if my answer was write. i did the math and unless i messed up writing i got the second answer

Answers

Answer 1

A = P(1+i/n)^nt

A = Total amount paid
P = Principal amount
i = Annual interest
n = number of payments per year
t = time in years

Substituting the values given,
A = 1800(1+0.032/52)^52*10 = $2,478.59

Interest paid = A - P = 2478.59-1800 = $678.59

Second answer is correct.

Related Questions

A tangent-tangent angle intercepts two arcs that measure 124 and 236. what is the measure of the tangent-tangent angle?

Answers

we know that

The measure of the external angle is the semi difference of the arcs that it covers.

let
x-----> the measure of the tangent-tangent angle
∠ x=(1/2)*[236-124]----> 56°

the answer is
the measure of the tangent-tangent angle is 56 degrees

Answer:

the measure of the tangent-tangent angle is 56 degrees.

Step-by-step explanation:

apex

A ball is thrown downward from the top of a 190-foot building with an initial velocity of 21 feet per second. the height of the ball h after t seconds is given by the equation h equals negative 16 t squared minus 21 t plus 190. how long after the ball is thrown will it strike the ground?

Answers

To solve this problem you must apply the proccedure shown below:

1- You have the following information give in the problem above:

- The ball is thrown downward from the top of a 190-foot building with an initial velocity of 21 feet per second.
- The height of the ball h after t seconds is given by this equation: h=-16t²-21t+190.

2- h=0 when the ball strikes the ground, then you have:

-16t²-21t+190=0

3. When you solve the quadratic equation shown above, you obtain:

t=2.85 seconds

The answer is: 2.85 seconds.

The ball hits the ground after approximately 4.16 seconds.

To find the time at which the ball strikes the ground, we need to determine when h(t) = 0. Given the equation for height:

[tex]\[ h(t) = -16t^2 - 21t + 190 \][/tex]

we can set h(t) to 0 and solve for t:

[tex]\[ -16t^2 - 21t + 190 = 0 \][/tex]

Using the quadratic formula, we can find the roots of this equation:

[tex]\[ t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \][/tex]

where a = -16 , b = -21, and c = 190. Plugging in the values, we get:

1. Find the discriminating value [tex]$ \Delta = b^2 - 4 \times a \times c $[/tex]:

[tex]\[ \Delta = (-21)^2 - 4 \times (-16) \times 190 = 441 + 12160 = 12601 \][/tex]

2. Calculate the roots:

[tex]\[ t = \frac{-(-21) \pm \sqrt{12601}}{2 \times -16} \\ \[ t = \frac{21 \pm \sqrt{12601}}{-32} \][/tex]

Since we're interested in the positive value (representing the time when the ball hits the ground), we'll only consider the root with the "minus" sign:

[tex]\[ t = \frac{21 - \sqrt{12601}}{-32} \approx \frac{-21 + \sqrt{12601}}{32} \approx \frac{21 - \sqrt{12601}}{32} \][/tex]

Using a calculator, let's approximate the result:

[tex]1. Compute $ \sqrt{12601} \approx 112.24 $,\\2. Then calculate $ 21 + 112.24 \approx 133.24 $,\\3. Divide by 32 to get $ t \approx \frac{133.24}{32} \approx 4.16375 $.[/tex]

Rounding to a more readable result, we can say that the ball hits the ground after approximately 4.16 seconds.

Write the equation for a parabola that has x− intercepts (−1.6,0) and (−3.2,0) and y−intercept (0,25.6).

Answers

x-intercepts are zeroes of the parabola.
(x-x1)(x-x2)=(x+1.6)(x+3.2)=x² +1.6x+3.2x+5.12=x²+4.8x+5.12

y=x²+4.8x+5.12, but the y-int. is (0, 25.6),

So, our parabola should look like
y=5(x²+4.8x+5.12)
y=5x²+24x+25.6

Answer: y = 5(x + 1.6)(x + 3.2)

∞∞∞∞∞∞∞∞
Explanation:
∞∞∞∞∞∞∞∞

x-intercept = (-1.6, 0) and (-3.2, 0)

=====> y = a(x + 1.6)(x + 3.2)

Given y-intercept = (0, 25.6)

=====> 25.6 = a( 0 + 1.6)(0 + 3.2)
=====> 25.6 = 5.12a
=====> a = 5

Plug in a = 5 into the equation

=====> y = 5(x + 1.6)(x + 3.2)

What is the value of ø for the acute angle in a right triangle?

sim (ø)= cos (48 degrees)

Ø=??????

Answers

Sin and cos are related by the following identity:

sin (90 - θ) = cos(θ)

The value of θ in the given case is 48, so the equation becomes:

sin(90 - 48) = cos(48)

sin (42) = cos(48)

Thus, in the given question value of ø will be 42 degrees.

Anyone know this geometry question?

Answers

I believe that the answer is B. 62°

B. 62
Corresponding parts of congruent triangles are the same

What is the approximate area of the shaded sector in the circle below

Answers

First to find the area the formula is A=pi(r^2)
so plug in the numbers A= (3.14)(4.5)(4.5)= 63.62 is the total area

150*63.62=9543 9543/360=26.5

So the answer is 26.5 cm ^2

[tex]\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ ------\\ r=4.5\\ \theta= 150 \end{cases}\implies A=\cfrac{(150)(\pi )(4.5^2)}{360}[/tex]

Kali earns $8 per hour. She worked x hours on both Monday and Tuesday. She also worked 5 hours on Thursday. The expression which represents Kali’s earnings for the week is shown.

Image in screenshot!

Which number should go into the box to complete the expression?

Answers

I’m pretty sure it’s 8 I could be mistaken though

Answer:The number that should go in the box in order to complete the expression is: 8i.e. the expression is: 2(8x)+5(8)Step-by-step explanation:

It is given that:

Kali earns $ 8 per hour.

This means that if she works for n hours then this earning for n hours will be given by: $ 8n

She works x hours on both Monday and Tuesday.

This means that the earning of x hours is: $ 8x

and hence the earning for both Monday and Tuesday is:$ 2(8x)

She also worked for 5 hours on Thursday.

Hence, the earning for Thursday is: 5×8=40

The total earning of the week is given by:

2(8x)+5(8)

Two ships leave a harbor at the same time. one ship travels on a bearing upper s 12 degrees upper w at 18 miles per hour. the other ship travels on a bearing upper n 75 degrees upper e at 12 miles per hour. how far apart will the ships be after 2 hours?

Answers

Between N75E and E there are (90-75)=15°
Between E and S there are 90°
Between South and S12°W there 12°
Applying cosine rule
Another way is to measure all angles clockwise from north (called azimuth) The ship at S12°W is at 180+12 = 192°
The ship at N75°E is at 75°
Angle between them is 192-75 = 117°

Applying cosine rule:
c=√(36²+24²-2×36×24cos117)
c=√2656.496
c=51.54 mi

A total of 327 tickets were sold for the school play. they were either adult tickets or student tickets. the number of student tickets sold was two times the number of adult tickets sold. how many adult tickets were sold?

Answers

218 Students
109 Adults

Let x = adults
Let 2x = students

Add together and set equal to the total number.

Final answer:

109 adult tickets were sold for the school play.

Explanation:

Let's assume the number of adult tickets sold is x.

According to the given information, the number of student tickets sold is 2 times the number of adult tickets sold. So, the number of student tickets sold is 2x.

Since the total number of tickets sold is 327, we can write the equation x + 2x = 327. Simplifying this equation gives us 3x = 327. Dividing both sides by 3, we get x = 109.

Therefore, 109 adult tickets were sold.

Learn more about number of adult tickets sold here:

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Consider the square root of 25. Is it rational or irrational? Explain your reasoning.

Answers

Hi there!

The square root of 25 is rational. This is because it is equal to the product of 5 x 5. Since 5 is a rational number and 25 is equal to 5 x 5, the square root of 25 is rational.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

yes, 25 is a rational number because it can be expressed as the quotient of twointegers: 25÷ 1.

Emily sold 147 candles for a fundraiser. If she sold 70% of the total number of candles sold for the fundraiser, what is the total number of candles sold for the fundraiser?

Answers

147 candies -----70%
x candies -----100%

x=(147*100)/70= 210
Total were sold 210 candies.

Emily sold 147 candles for a fundraiser. If she sold 70% of the total number of candles sold for the fundraiser, what is the total number of candles sold for the fundraiser?

Solution:

Candles Emily sold=70% of Total Number of Candles

Emily sold 147 candles.

So, We have,

147=70% of Total Number Of Candles

Let, Total Number Of Candles=x

147=70% of x

147=[tex] \frac{70}{100} [/tex] *x

147=[tex] \frac{70x}{100} [/tex]

Let us multiply by 100 on both sides

147*100=[tex] \frac{70x*100}{100} [/tex]

14700=[tex] \frac{70x*1}{1} [/tex]

14700=70x

To solve for x, Let us divide by 70 on both sides

[tex] \frac{70x}{70}=\frac{14700}{70} [/tex]

x=14700/70

x=210

Total Number of Candles=210

A researcher reports that mean ratings of liking for some food are m = 0.8, sd = 2.4. if the null hypothesis was that the mean equals 0, then what is the effect size for this test using estimated cohen's d?

Answers

cohen's d is a rathe rwrong way to word things so i suggest you rerun your Claulctaion

A large pizza has a diameter of 18 inches. How many square inches of pizza does the large pizza have?

Answers

we, know that
the area of a pizza is equal to the area of a circle
so
area of a circle=pi*r²
diameter=18 in
radius=diameter/2-----> r=18/2------> r=9 in
area of a circle=pi*9²------> 254.34 in²

the answer is
254.34 in²

Find 2004-04-02-04-00_files/i0340000.jpg. Round the answer to the nearest tenth.

A.
46.1°
B.
47.2°
C.
54.9°
D.
79.0°

Answers

The problem is to calculate the angles of the triangle. However, it is not clear which angle you have to calculate, so we are going to calculate all of them

we know that
Applying the law of cosines
c²=a²+b²-2*a*b*cos C------> cos C=[a²+b²-c²]/[2*a*b]
a=12.5
b=15
c=11
so
cos C=[a²+b²-c²]/[2*a*b]---> cos C=[12.5²+15²-11²]/[2*12.5*15]
cos C=0.694------------> C=arc cos (0.694)-----> C=46.05°-----> C=46.1°

applying the law of sines calculate angle B
15 sin B=11/sin 46.1-----> 15*sin 46.1=11*sin B----> sin B=15*sin 46.1/11
sin B=15*sin 46.1/11-----> sin B=0.9826----> B=arc sin (0.9826)
B=79.3°

calculate angle A
A+B+C=180------> A=180-B-C-----> A=180-79.3-46.1----> A=54.6°

the angles of the triangle are
A=54.6°
B=79.3°
C=46.1°

The scatterplot shows a linear relationship between the distance traveled and the time elapsed. What is the rate of change of the linear relationship?
For every increase in time by 1 hour, the distance increases
36 miles.
54 miles.
72 miles.
90 miles.

Answers

To solve the question we get the slope for the given graph. This is given by:
slope,m=(change in y-values)/(change in x-values)
taking 2 points (1.25, 90) and (0.75,54) we get:
slope,m=(90-54)/(1.25-0.75)=36/0.5=72
The answer is:
72 miles

Answer:

The answer is C. 72 miles.

Step-by-step explanation:

THE FIRST ANSWER GETS BRAINIEST The total height of the Statue of Liberty and its pedestal is 153 feet more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.

WRITE THE EQUATION !!

Answers

The complete question is :

The total height of the Statue of Liberty and its pedestal is 305 feet. This is 153 more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.

Question says 153, so we add 153 with the height of the statue

The total height of the Statue of Liberty = Height of the statue + 153

305 = h + 153

To find out h we subtract 153 on both sides

305 - 153 = h + 153 - 153

h = 152

The height of the statue = 152 ft

The height of the statue is 152 feet.

Let's call the height of the statue "h" in feet. According to the problem, the total height of the Statue of Liberty and its pedestal is 305 feet, and this is 153 more than the height of the statue. So, you can write the equation as:

Total Height = Statue Height + Pedestal Height

305 feet = h + 153 feet

Now, to find the height "h" of the statue, you can isolate it on one side of the equation. To do that, subtract 153 feet from both sides of the equation:

305 feet - 153 feet = h

152 feet = h

So, the height of the statue is 152 feet.

To know more about equation:

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The complete question is:

The total height of the Statue of Liberty and its pedestal is 305 feet. This is 153 more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.

HEEEELLLPP!!!!!!!!!!!!!!!WILL GIVE THE BRAIN!!!!!POINTS!!!!!!!
plz

Answers

A parent function is the function from which all similar functions can be derived.

The given function f(x) = - 3x + 2 is a linear function, so its parent function must have to be a linear function.

The parent linear function is f(x) = x

Note that you can derive the above function from x by first multiplying it with -3 and then adding 2.

So the correct option is option C

write the standard form of the line that passes through the given point. include your work in your final answer. (-8,0) and (1,5)

Answers

We are given two points on the line. Using these points first we need to find the slope of the line.

The points are (-8,0) and (1,5). The slope(m) of the line will be:

[tex]m= \frac{5-0}{1+8} = \frac{5}{9} [/tex]

Using the slope and a point (-8,0) we can write the equation in point slope form as:

[tex]y-0= \frac{5}{9}(x+8) \\ \\ y= \frac{5x}{9} + \frac{40}{9} \\ \\ 9y=5x+40[/tex]

In standard form, the equation will be:

5x - 9y = - 40

Could someone please help with this question!

Answers

I added a screenshot of the question

Part (A):
Since the two figure are similar, therefore, we will use the similarity proportionality to get the unknown side as follows:
[tex] \frac{16}{8} = \frac{x}{2} [/tex]

x = [tex] \frac{2*16}{8} = 4 units[/tex]

Part (B):
Since the two figures are similar, therefore, we will use similarity proportionality to get the unknown sides as follows:
[tex] \frac{y}{8} = \frac{12}{4} = \frac{18}{x} [/tex]

x = [tex] \frac{18*4}{12} = 6 units[/tex]

y = [tex] \frac{12*8}{4} = 24 units[/tex]

Hope this helps :)

Need help on this as soon as possible

Answers

Hypotenuse of the right triangle: h=sqrt(4^2+6^2)
h=sqrt(16+36)
h=sqrt(52)
h=sqrt(4*13)
h=sqrt(4) sqrt(13)
h=2 sqrt(13)

Total Area: T.A.=2*(4*6/2)+[4+6+2 sqrt(13)] (8)
T.A.=2*(12)+[10+2 sqrt(13)](8)
T.A.=24+(10)(8)+[2 sqrt(13)](8)
T.A.=24+80+16 sqrt(13)
T.A.=104+16 sqrt(13)

Answer:
( 104+16 sqrt(13) )

Mike is going to a ball game on saturday. he will pay $8.00 admission, plus $1.50 per item he buys at the concession stand. which of the equations represents this information?

Answers

The first thing you should do for this case is to define a variable:
x: number of items that he buys at the concession stand
y: total payment
We now write the equation that represents this problem.
We have then:
y = 1.50x + 8
Answer:
An equation that represents this information is:
y = 1.50x + 8

The equation that represents this information will be y = 1.5x + 8.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Mike is going to a ball game on Saturday.

He will pay $8.00 for admission, plus $1.50 per item he buys at the concession stand.

Let x be the number of items and y be the total cost.

Then we have

y = 1.5x + 8

More about the linear system link is given below.

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George purchased a new car with the special 2.9% financing. If the car's price was $19,999 and he financed it for five years, find his monthly payment.

A. $357.46

B. $358.47

C. $199.99

D. $343.25

Answers

Monthly payments amount (P) is given by the following expression:

P = C*{(i/12)/[1-(1+i/12)^-12t}
C = Cost of the car = $19,999; i = financing rate = 2.9% = 0.029; t = time of payment in years = 5 years

Therefore,
P = 19999*{(0.029/12)/[1-(1+0.029/12)^-12*5} = $358.47

B. is the correct answer.

Correct Answer is B which is $ 358.47 for monthly payment

The cost of gasoline is expected to increase by 2.5% next year. If p represents the current cost of gasoline, which experession represents the expected gasoline price next year?

Answers

[tex]y = x \times 0.025[/tex]

YO! I WILL MAKE YOU LOOK GOOD IF YOU ANSWER MY QUESTION!!!!!!!

Answers

It would be option 2.
Since the turning points are two and the first line came from the negative side and the second is in the positive side, so there for if you will multiple it negative times positive will give you negative.

This is the hint that this is an odd degree. Since if you raise thw power to an odd degree, it wi give you a negative answer. So it will have two different sides, points in the negative and points on the positive side.

If you will consider it an even degree, the graph's shape must be either up, up or down, down. But the graph shows down, up which indicstes its an odd degree. Hope you understand.

Use the Distributive Property to multiply 9 and 37 in your head. What is the answer?

270 + 7 = 277

27 + 63 = 90

30 + 63 = 93

270 + 63 = 333

Answers

270 + 63 = 333
If you did it in your head, it would look like this:
9(30) + 9(7)
270 + 63 = 333

Which of following equations is equivalent to the slope formula?

Answers

The first one (y2=m(x2-x1) +y1

If we cross-multiply the given formula for m you get the first choice.

Can someone help me please!!!!

Answers

Given:
Right triangle DEF right-angled at F.
ED=97 (hypotenuse)
DF=72 (opposite side of angle E)
FE=65 (adjacent side of angle E)

Cosine of angle E
=(adjacent side)/(hypotenuse)
=FE/ED
=65/97
=0.6701 (to four decimal places)

Anyone know? Will give brainiest

Answers

By using the process of elimination, the answer is A.

The answer is going to be A because if you flip the shapes the angles do not meet each other.

What is the length of a garden hose that is stretched diagonally corner-to-corner across a yard that measures 72 meters long and 60 meters wide? Round to the nearest meter.

Answers

Use the Pythagoras theorem :-

length = sqrt (72^2 + 60^2)
= 94 meters to nearest meter

Here, we need to find the length of the hose which is diagonally placed in the rectangular garden.

The length is given as = 72 meters

The width is given as = 60 meters

We will use Pythagoras theorem here.

Hypotenuse² = Perpendicular² + Base²

Hypotenuse² = 72² + 60²

Hypotenuse² = √8,784 meters²

Hypotenuse = 93.72 meters

Thus, the length of diagonal hose will be = 93.72 meters

find the surface area of a sphere with a radius of 0.8 ft

Answers

Sphere Surface Area = 4 • π • r²
Sphere Surface Area = 4 * PI * .8^2
Sphere Surface Area = 8.0424771932 square feet

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