Mariah will deposit $1,530 in an account that earns 6% simple interest every year. Her
sister Isabel will deposit $1,500 in an account that earns 8% interest compounded
annually. The deposits will be made on the same day, and no additional money will be
deposited or withdrawn from the accounts. Which statement about the balances of
Mariah's account and Isabel account at the end of the 3 years is true?

Answers

Answer 1

Answer:

After 3 years Mariah will have $1,805.40 while her sister Isabel will have $1,889.56.

Step-by-step explanation:

Since Mariah will deposit $ 1,530 in an account that earns 6% simple interest every year, while her sister Isabel will deposit $ 1,500 in an account that earns 8% interest compounded annually, and the deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts, to determine the balances of Mariah's account and Isabel account at the end of the 3 years the following calculations must be performed:

Mariah:

1,530 + ((1,530 x 0.06) x 3) = X

1,530 + (91.8 x 3) = X

1,530 + 275.4 = X

1,805.4 = X

Isabel:

1,500 x (1 + 0.08 / 1) ^ 3x1 = X

1,500 x 1.08 ^ 3 = X

1,500 x 1,259712 = X

1,889.568 = X

Therefore, after 3 years Mariah will have $ 1,805.40 while her sister Isabel will have $ 1,889.56.


Related Questions

A teacher wants to choose a student at random. The teacher decides to choose the first person to walk through the classroom door at the start of the lesson.
a. Explain why this is not a good method.
2. Suggest a better method.

Answers

Answer:

The first person to arrive is not random. The person that mostly arrives first every time is the person who lives closest to the school, or is a teacher's pet.

The odds of the person who lives 20km away from the school being first are way lower than anyone else.

A better method, would be everyone writes their name on a paper, and the teacher picks one at random from a hat.

Which of the following statements represents a correct relationship?
a.) 345 > 354
b.) 400 < 40
c.) 4,008 < 4,080
d.) 23,090 = 23,009

Answers

Answer:

I think C

so it's kind of a process of elimination you have to see the order of the numbers and what order each number is in so for A you can see that it's 345 is greater than 354 which is inspect cuz 354 is greater than 345 for B that's an obvious answer is is 400 is less than 40 which is obviously wrong because 400 is greater has two zeros and 40 only has one 0 for C it has 4008 is less than 4080which is actually correct if you look at the way that the numbers are written you could see that 80 is greater than 8 D it's obviously not correct because it says 20090 is equal to 23009 which is incorrect because 90 is greater than 9

please help me answer this i really need help !!

Answers

Answer:

A= 314.16m^{2}

Step-by-step explanation:

if its a half a circle then we use the formula to find area of a circle and get half of it.

[tex]A=\pi r^{2}[/tex]

[tex]A=\pi 10^{2}[/tex]

[tex]A= 314.16m^{2}[/tex]  

Find the total surface area of the
following square pyramid:
6 cm
8 cm
SA = [?] cm2

Answers

Answer:

Step-by-step explanation:

Find the total surface area of the

following square pyramid:

6 cm

8 cm

SA = [?] cm2

Answer:

Step-by-step explanation:

Answer:

160

∠A and ∠B form linear pair. If m∠A =(6x-19)° and m∠B=(11x-22)°, find m∠B.

Answers

Answer: 121°

Step-by-step explanation:

The measure of angle B will be [tex]121^0[/tex] .

What is angle?

Angle is formed by two rays lie in the plane that contains the rays.

We have,

[tex]m \angle A =(6x-19)^0[/tex]

Now,

Linear pair angles are those angles whose sum is [tex]180^0[/tex] .

i.e.

[tex]m \angle A + m \angle B=180^0[/tex]

So,

[tex](6x-19)^0 +(11x-22)^0 =180^0[/tex]

Now,

[tex]17x-41=180[/tex]

[tex]17x=221[/tex]

[tex]x=13[/tex]

So,

[tex]m\angle B=(11x-22)^0[/tex]

Putting value of x;

[tex]m\angle B=(11*13-22)^0[/tex]

[tex]m\angle B=(121)^0[/tex]

So, measure of angle B is [tex]121^0[/tex].

Hence, we can say that the measure of angle B will be [tex]121^0[/tex] .

To know more about angle click here

https://brainly.com/question/13954458

#SPJ3

A man bought an article for Rs 225 and sold it at a gain of 15%. how much was his profit?

Answers

Answer:

225 x 0.15 = 33.75 profit

Step-by-step explanation:

Answer:

Profit:  Rs 33.75

Step-by-step explanation:

His profit was 15% of Rs 225, which comes to 0.15(Rs 225), or Rs 33.75

If correct I’ll give brainlist

Answers

Hi there!

[tex]\large\boxed{-18a^{3}c^{3}}[/tex]

To solve, keep in mind the following property:

xᵃ · xᵇ = xᵃ⁺ᵇ

We are given:

-3a⁷ (6)c⁷a⁻⁴c⁻⁴

Combine like exponent bases using the property above:

-3(6)a⁷⁻⁴c⁷⁻⁴

Simplify:

-18a³c³

What is the average of 87 and 62

Answers

Answer:

74.5

Step-by-step explanation:

Answer: The answer is 74.5

Step-by-step explanation:

Hope this helped! :)

Expand 5(2x - 1) please helpp

Answers

Answer:

10x - 5 is the answer !!!!

Answer:

=10x-5

Step-by-step explanation:

in in such an algebra effects of in the brackets which is 5×2x and 5x1 you'll end up getting 10x-5

An amphitheater has 24 seats in the first row, 28 in the second, 32 in the third, and so on, for 28 rows. How many seats are in the amphitheater?

Answers

Answer: 2,184 seats

Step-by-step explanation:

                  Row                     Number of seats

                      1                                24

                      2                               28

                      3                               32

                      4                               36

                      5                               40

                      6                              44

                      7                              48

                      8                              52

                      9                              56

                     10                              60

                      11                              64

                     12                              68

                      13                              72

                      14                              76

                      15                              80

                      16                              84

                      17                              88

                      18                              92

                     19                              96

                     20                              100

                     21                              104

                     22                              108

                     23                              112

                     24                              116

                     25                              120

                     26                              124

                     27                              128

                     28                              132

Total                                            2,184 seats

NO LINKS PLEASE help

Answers

Answer:

Midpoint for A is (1,5) and for B it is (2.5,4.5)

Step-by-step explanation:

To get the midpoint you add the x coordinates and divide by 2 and then the y coordinates and divide by 2.

X = (3 + -1)/2    y = (8+ 2)/2

   =2/2 = 1             10/2=5

I need help on this math problem

Answers

Answer:

B, C, D

Step-by-step explanation:

7x + 1 + 105 = 180

7x = 74

x = 74/7

4y + 14 + 7y + 1 = 180

11y = 165

y = 15

m<A = 4y + 14 = 4(15) + 14 = 74°

m<B = 7x + 1 = 7(74/7) + 1 = 75°

m<C = 7y + 1 = 7(15) + 1 = 106°

Answer: B, C, D

What is a simpler form of (x-6)(4x+3)?

Answers

The answer is.. 4x^2 + 3x - 24x - 18 = 4x^ - 21x - 18

Have a nice day or night whatever

Answer:

4x^2-21x-18

Step-by-step explanation:

PLEASE ANSWER QUICKLY, I WILL LOVE YOU FOREVER. AND GIVE YOU THE BRAINLY THINGY

The scatter plot shows the average movie ticket prices since 1995.

write an equation in slope intercept form for the line that is drawn
use your equation to make a conjecture about the average cost of a movie ticket in 2020

Answers

Answer:

The average movie ticket prices in 2020 was $ 10.25.

Step-by-step explanation:

If (0 , 4) and ( 8, 6) are two points on a line, the slope of the line is:

m= y2 - y1/ x2 - x1

m= (6 - 4) / (8 - 0)

m= 1 / 4

The y-intercept is $ 4, meaning it is the average movie ticket price in 1995.

Therefore,

Y = mx + b

Y = 1/4 x + b

It is m= 1/4, interpreting the slope we have that for every additional 4 years the average movie ticket price will increase by $ 1.

The year 2020 is 25 years after 1995, then

Y= 1/4 (25) + 4

Y = $ 10.25

The average movie ticket price was $10.25 in 2020.

5+2x = -27/8
How explain​

Answers

Answer:

x = -4 3/16.

Step-by-step explanation:

First, convert -27/8 to a mixed number. -3 3/8.

So we can take 5 + 2x = -3 3/8 and subtract 5 from both sides (to get rid of the 5 on the left)

The equation turns into this: 2x = -8 3/8.

Now we can divide by 2 on both sides.

The equation becomes x = -4 3/16.

Hope this helps!

Here is the answer!!!!!!!

What is the slope of the line that passes through the points (-6,8) and (-16,33)

Answers

Answer:

-5/2 or -2.5

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1)

(y2 - y1) / (x2 - x1)

(33 - 8) / (-16 + 6)

25 / -10

= -5/2

So, the slope is -5/2 or -2.5

Answer:

Solution :-

We know that

Slope

[tex] \bf \: \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

Where

y2 = 33

y1 = 8

x2 = -16

x1 = -6

33 - 8/-16 - 8

25/-24

Choose the correct answer below.

Answers

Line x shows a reasonable trend

The radius of a circle is 7 cm. Find its area in terms of Pi

Answers

Answer:

49(pi)

Step-by-step explanation:

Area of a circle = (pi)r squared

= 7 squared (pi)

= 49(pi)

= 49 x pi

Answer:

49(pi)

Step-by-step explanation:

helppppppppppppppppppp

Answers

Answer: No

Step-by-step explanation:

The problem says x is bigger than 5, and smaller than or equal to 9.

Possible values of x can only be 6,7,8, and 9.

So, 12 cannot be the answer.

Michelle and Natasha each had to repair their new iPhones. The initial cost of each repair is $ 100. Michelle and Natasha each have two discount coupons. Each of them uses both coupons toward the cost of the repair. One coupon is for $25 off the repair cost and the other coupon is for 20% off the repair cost. Michelle and Natasha use their coupons in a different order, as shown below. Michelle uses the 20% off the repair cost coupon first. She then uses the $25 off the repair cost coupon on the remaining balance. Natasha uses the $25 off the repair cost coupon first. She then uses the %20% off the repair cost coupon on the remaining balance.

Answers

Answer:Michelle

And 50

Step-by-step explanation:

HeLp! the question is on the picture.

Answers

Answer:

tan ∅ = 16/12

Step-by-step explanation:

Once again here are the trigonometric ratios

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Tangent

We are asked to find tan ∅

Looking at the trigonometric ratios we see that tan = opposite over adjacent

So we find the side length opposite of the indicated angle (∅) which would be 16 then we find the angle adjacent angle ( the side that is not the hypotenuse nor the opposite ) so the adjacent of angle ∅ is 12

so tan ∅ = opposite (16) over adjacent (12)

tan ∅ = 16/12

$200 at 9% compounded semiannually for 2 years

Answers

Answer:

Your answer is on the picture

Step-by-step explanation:

Simplify 3 square root of 2 - 3 square root of 18

Answers

Answer:

-6 √(2) = -8.48528137424

Step-by-step explanation:

:))

find the minimum value of the parabola

Answers

Answer:

Excuse Me, I believe you forgot to put your question. So I highly recommend to repost your question to get the desired answer(s).

Hace a great day!

Yours Truely, TheAnimeCatUwU

Olga tried to solve an equation step by step.

\begin{aligned} \dfrac14\left(\dfrac13k+9\right)&=6 \\\\ \dfrac13k+9&=24&\green{\text{Step } 1} \\\\ \dfrac13k&=15&\blue{\text{Step } 2} \\\\ k&=5&\purple{\text{Step } 3} \end{aligned}

4

1



(

3

1



k+9)

3

1



k+9

3

1



k

k




=6

=24

=15

=5




Step 1

Step 2

Step 3




Find Olga's mistake.

Answers

Well formatted version of question :

Olga tried to solve an equation step by step

1/4(1/3k+9)=6

step 1- 1/3k+9=24

step 2- 1/3k=15

step 3- k=5

find olgas mistake

step 1

step 2

step 3

olga did not make a mistake

Answer:

Step 3

Step-by-step explanation:

Given the equation :

1/4(1/3k+9)=6

Step 1 : Olga multiplied both sides by 4

1/4(1/3k + 9) * 4 = 6* 4

1/3k + 9 = 24

Step 2 : Olga subtracted 9 from sides

1/3k + 9 - 9 = 24 - 9

1/3k = 15

Step 3 : Both sides should be multiplied by 3

1/3k * 3 = 15 * 3

k = 45

This is the step Olga made a mistake. Olga attempted to divide 15/3 = 5 instead of Multiplying 15 * 3 to obtain 45

A cylindrical candle has a volume of approximately 400cm^3 and is 8 cm tall. What is the radius of the candle?

Answers

Answer:

Solution :-

We know that

V = πr²h

400 = 22/7 × r² × 8

400 × 7 = 22 × 7r²

2800 = 154r²

2800/154 = r²

18 ≈ r²

4.2 = r

Problem If 5 wholes are divided into pieces that are each 1/4 of a whole, how many pieces are there?

Answers

1/4 is one piece and there are 4 pieces in each one whole .. since there are 5 wholes that means there should be 20 piece because 4x5=20

A triangular prism has a base perimeter of 32 cm and a height of 15 cm what is the lateral surface area of the prism


A. 240 cm2

B. 432 cm2

C. 160 cm2

D. 480 cm2 ​

Answers

Answer: c

Step-by-step explanation

Point AAA is at {(-7,5)}(−7,5)left parenthesis, minus, 7, comma, 5, right parenthesis and point CCC is at {(5,-1)}(5,−1)left parenthesis, 5, comma, minus, 1, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that ABABA, B is 555 times as long as BCBCB, C.

Answers

Answer:

(3,0)

Step-by-step explanation:

KHAN

Sodas cost $1.50 and a cup of coffee costs $1.25 at a football game. Sally
bought 8 drinks total for all of her friends and her total cost was $11.50. How
many of each drink did she buy?

Answers

Answer:

the answer 4

Step-by-step explanation:

4 of each because (1.25x4) + (1.50x4) = 11.50

Answer:

Sally bought 6 sodas and 2 cups of coffee.

Step-by-step explanation:

Variable x = number of sodas

Variable y = number of coffees

$1.50x + $1.25y = $11.50

x + y = 8 drinks

$1.50(6) + $1.25(2) = $11.50

$9.00 + $2.50 = $11.50

I simply plugged in numbers that totalled to 8 drinks until I reached $11.50 as the total.

For example:

$1.50(5) + $1.25(3) = $11.50

$7.50 + $3.75 = $11.50

$11.25 = $11.50

This is not correct as they do not equal so this cannot be the answer.

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