Jenny deposits $50,000 into an account that pays simple interest at a rate of 2% per year.
Frank deposits $50,000 into an account that also pays 2% interest per year. But it is compounded annually.
Find the interest Jenny and Frank earn during each of the first three years.
Then decide who earns more interest for each year.
Assume there are no withdrawals and no additional deposits.

Answers

Answer 1

Answer:

Jenny will earn $ 1,000 in interest each year, while Frank will earn $ 1,000 the first year, $ 1,020 the second, and $ 1,040.40 the third.

Step-by-step explanation:

Since Jenny deposited $ 50,000 into an account that pays simple interest at a rate of 2% per year and Frank deposited $ 50,000 into an account that also pays 2% interest per year but it was compounded annually, to find the interest Jenny and Frank earn during each of the first three years and decide who earns more interest for each year assuming there are no withdrawals and no additional deposits, the following calculation must be performed:

Jenny:

Year 1 = 50,000 x 1.02 = 51,000

Year 2 = 50,000 x 1.02 = 51,000 + 1,000 = 52,000

Year 3 = 50,000 x 1.02 = 51,000 + 2,000 = 53,000

Frank:

Year 1 = 50,000 x 1.02 = 51,000

Year 2 = 51,000 x 1.02 = 52,020

Year 3 = 52,000 x 1.02 = 53,060.40


Related Questions

Which graph represents the inequality ?

Answers

Answer:

if there is a pic i need to to help so since there is no pic i can not help

Step-by-step explanation:

help please!!!!!!!!will give brainliest

Answers

Step-by-step explanation:

The first answer is correct

Answer:

The answer is option A = 5 11/36

Working :

3 8/9 as an improper fraction = 35/9

1 5/12 as an improper fraction =17/12

35/9 + 17/12 = 191/36

=5 11/36

Please mark me brainliest.

In a large population, 60% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

Give your answer as a decimal to 4 places.

Answers

Answer:

0.9744 probability that AT LEAST ONE of them has been vaccinated

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have been vaccinated, or they have not. The probability of a person having been vaccinated is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

60% of the people have been vaccinated.

This means that [tex]p = 0.6[/tex]

If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

This is

[tex]P(X \geq 1)[/tex] when [tex]n = 4[/tex].

We have that

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.6)^{0}.(0.4)^{4} = 0.0256[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0256 = 0.9744[/tex]

0.9744 probability that AT LEAST ONE of them has been vaccinated

Which proportion would you use to solve the following problem?

A map has a scale of 1 cm : 5 km. Determine how far apart two cities are if they are 4 cm apart on the map.
ILL MARK BRAINLEST

Answers

Answer:

They are 20 km away from each other,

Step-by-step explanation:

1cm=5km so 4cm=20km

Answer:

20km

Step-by-step explanation:

its like 1st grade math?

also im posting so you can give the other dude brainliest

Give the sine, cosine, and tangent ratios for
both angle A and Angle B as a reduced fraction.

Answers

Answer:

sin A= 43.60 or 43 3/5 cos A= 43.60 or 43 3/5 tan A= 43 3/5

sin B= 46. 40 or 46 2/5 cos B= 46. 40 or 46 2/5 tanB= 46.40 or 46 2/5

Step-by-step explanation:

Hope this Helped

Write the equation of each line using the given information. Show all work.
1. Passing through the points (4, 5) and (-2, -7). Use fractions, not decimals.​

Answers

Answer:

y=2x

Step-by-step explanation:

y2-y1/x2-x1

-7-5/-2-4

-12/-6

simplified to = 2

so y=2x

To test for a disease, technicians mix the blood samples from 8 people then test the mixture. The mixture will test positive for the disease if and only if one or more of the 8 blood samples in the mixture contains the disease. Find the probability that the mixture will test positive given that there is a 52% chance of any particular sample testing positive.

Answers

Answer:

Step-by-step explanation:

[tex]1-(0.52^8)\approx 0.99465402714[/tex]

Each suite has 3 beds and there is a bed side table beside each side of each bed. How many bed side tables are there in all the suites?

Answers

Answer:

8

Step-by-step explanation:

3 +  3  + 2

If cos x= sin(20 + x)° and 0° < x < 90°, the value of xis

Answers

Answer:

draw a right angle triangle

Step-by-step explanation:

Let one of the angles be A  

cos A = sin (90-A)  

90 - x - 20 = x  

2x = 70  

x = 35 degrees

help quick

142 is what percent of 596?

(Write your answer as a percent rounded to the nearest tenth of a percent. Include the % on your answer.)

Answers

you answer should be 28.83%

Answer:

23.8%

Step-by-step explanation:

Step 1: Divide 142 by 596;

The first step is to divide the numerator of this problem by the denominator. The numerator, in this case, is 142 and the denominator is 596. Here is the equation for this operation:

142/596 = 142 ÷ 596 = 0.23825503355705

Step 2: Multiply 0.23825503355705 by 100

The second step is to multiply the result of step 1 by 100. This will turn our original answer into a percentage. This is the final answer to the problem. Here is the equation for:

0.23825503355705 × 100 = 23.83

Step 3: Round 23.83 to the nearest tenth

To round 23.83 to the nearest tenth consider the hundredths’ value of 23.83, which is 3 and less than 5. Therefore, the tenths value of 23.83 remains 8.

23.83 rounded to the nearest tenth = 23.8%

Match the expressions given in words with their values when d= 3. Help

Answers

Answer:

3

4

0

2

Step-by-step explanation:

3

4

0

2

Use elimination to solve the system of equations.

x – y = 5

x + y = 3


a
(–4, –1)
b
(4, 1)
c
(–4, 1)
d
(4, –1)

Answers

Answer:what

Step-by-step explanation:

what

$26,088,808.74 +
$34,311,887.98 =

Answers

60,400,696.6 is the answer

Answer:60,400,696.72

Step-by-step explanation:

it just is...

Se all of the expressions that are equivalent to 2k +2+k+3+ 2k.

Answers

Answer:

5k+5

Step-by-step explanation:

Combine Like Terms:

=2k+2+k+3+2k

=(2k+k+2k)+(2+3)

=5k+5

HOLA! HEY!! Can some one please help me with this quiz? I will give you brainlest.
A rectangle with an area of 8 ft² is dilated by a factor of 4.

What is the area of the dilated rectangle?


12 ft²

32 ft²

64 ft²

​128 ft²

Answers

Answer:

I think the answer it is D

IN (3)
2
10
6
7
-3
-10 1000
15
OUT (9)
9 25 17
a. Explain in words what is done to the input value (20) to produce the output value (y).
b. Write the rule you described in part (a) with algebraic symbols.

Answers

Answer:

(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product

(b) [tex]y =2x +5[/tex]

Step-by-step explanation:

Given

The attached table

Solving (a): The rule of the table in words

First, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Using:

[tex](x_1,y_1) = (2,9)[/tex]

[tex](x_1,y_1) = (10,25)[/tex]

So, we have:

[tex]m = \frac{25 - 9}{10 - 2}[/tex]

[tex]m = \frac{16}{8}[/tex]

[tex]m=2[/tex]

The equation is calculated using:

[tex]y - y_1 =m(x - x_1)[/tex]

Using:

[tex](x_1,y_1) = (6,17)[/tex]

We have:

[tex]y - 17 =2(x - 6)[/tex]

[tex]y - 17 =2x - 12[/tex]

Make y the subject

[tex]y =2x - 12+17[/tex]

[tex]y =2x +5[/tex]

Hence, the rule is:

Multiply the input (x) by 2 and add 5 to the result of the product

(b): The rule, in algebra

As solved in (a), the rule is:

[tex]y =2x +5[/tex]

Find the indicated measurement

Answers

Answer:

11.2

Step-by-step explanation:

Given that the two triangles share an angle (bottom left), and since the sides opposite this angle are parallel, we can conclude that the triangles are similar.

Put one side length over another and equak to the corresponding side lengths of the other triangle:

28/15=?/6

?=6(28/15)=11.2

Consider the line y=5/3x+1.
Find the equation of the line that is perpendicular to this line and passes through the point (-9,5).
Find the equation of the line that is parallel to this line and passes through the point (-9,5).
Equation of perpendicular line:
Equation of parallel line:

Answers

Answer:

similar to your question hope it will helpful for you

Step-by-step explanation:

I've done step by step hope it helps

Factor the expression using the GCF 42-12

Answers

6(7 - 2)
6(5)

Check:
7*6 = 42
2*6 = 12
42-12 = 30 = 6(5) :)

Pls help I need a good grade asap

Answers

Answer:

8n+12=36, triplets are 8 years old

Step-by-step explanation:

total age is 36

one of them is 12 years old so -> 36-12 = 24

three triplets so 24/3 = 8

there are three 8 years olds and one 12 year old. n = 3

Answer:

Step-by-step explanation:

3n + 12 = 36

3n = 24

n = 8 (the triplets)

another child: 12 years

If I invest $600 at an 11.5% interest rate, how much money will I earn over 5 years? A. $945 B. $345 C. $69 D. $34.50

Answers

Answer:

A

Algebra For what values of the variables must ABCD be a parallelogram?

B

23. A 2y + 2 B 24. B

(3x + 10)

(8x + 5)º

3x + 6

54°

D

С

D

A

Зу - 9 с

ly+4

Answer:

a

Step-by-step explanation:

3x x 2 + 5x - 1 fdhyshber

Answers

Answer:

11x - 1

Step-by-step explanation:

Just simplify the terms!

3x * 2 + 5x - 1

6x + 5x - 1 (We multiply 3x * 2 to get 6x)

11x - 1 (Then after that, all you have to do is add 6x and 5x together. We can't simplify further since we don't know what x is)

Answer:

How to solve your question

3xx^{2}+5x-1

3xx2+5x−1

Simplify

1

Combine exponents

3 2 + 5 − 1 3 3 + 5 − 1

Solution

3 3 + 5 − 1

Step-by-step explanation:

10. Given the function below, what is f(3)?
f(x) = 2x2 - x-5

Answers

Answer:

f(3) = 10

Step-by-step explanation:

f(3) = 2(3)^2 - (3) - 5

f(3) = 2(9) - (3) - 5

f(3) = 18 - 3 - 5

f(3) = 10

the length of the rectangle is x+2x-3 and the with is 5x+4. what is the perimeter of the rectangle​

Answers

Answer:

[tex]2(8x - 7)[/tex]

Step-by-step explanation:

( x + 2x - 3)(2) + (5x + 4)(2) = 2x+4x-6+10x-8

= 16x - 14

= 2(8x-7) (when factorised/simplified)

My choices are
38
62
102
150​

Answers

Answer:

B. [tex]x = 62[/tex]

Step-by-step explanation:

In order for m to be parallel to n, those two angles given have to be equal to each other according to the corresponding angles theorem converse.

[tex]3x-36=2x+26\\[/tex]

Same to both sides:

[tex]x = 62[/tex]

Noah works at a concession stand selling bags of popcorn and cans of soda. A bag of popcorn costs $2.50 and a can of soda costs $1.50. One night, he notices that he sold a total of 300 items and collected a total of $522. Determine the system of equations that could be used to solve this problem, where x represents the number of bags of popcorn sold and y represents the number of cans of soda sold

Answers

Set up 2 equations:

Total items sold: x + y = 300

This gets rewritten as x = 300-y

The second equation is for total amount made:

2.50x + 1.50y = 522

Replace x in the 2nd equation with the value of x from the first one:

2.50(300-y) + 1.50y = 522

Simplify:

750 - 2.50y + 1.50y = 522

Combine like terms:

750 - y = 522

Subtract 750 from both sides:

-y = -228

Divide both sides by -1 ( to make y positive)

y = 228

Now replace y in the first equation to solve for x:

x+ 228 = 300

Subtract 228 from both sides:

x = 72

He sold 72 bags of popcorn and 228 sodas.

What is the volume of a prism if the area of its cross-section is 2 m² and its length is 7 m?

Answers

Answer:

14m^3

Step-by-step explanation:

Volume of the prism = base area * height

Given

Area of the cross section = 2m^2

Length = 7m

Substitute

Volume of the prism = 2 * 7

Volume of the prism = 14m^3

Hence the volume of the prism is 14m^3

Determine the unknown angle measures in a hexagon whose six angles measure 69°, 108°, 135°, 204°, b°, and 2b°.

Answers

Answer:

B = 68

Step-by-step explanation:

(6-2)×180 = 720

69+108+135+204+b+2b=720

516+3b=720

3b=720-516

3b=204

b= 68

How do I find the mean of a given set of numbers?

Answers

Answer:

Add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Step-by-step explanation:

:D

Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $7. On Saturday, Rob
earned $84 babysitting. How much money did he save?
If he earned $84, how much money did he save

Answers

Answer:

$42

Step-by-step explanation:

7/14=1/2 so he saved 1/2 of 84

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