1/5+3/7 and you will get 50 points

Tom and Jerry both invested the same amount for 8 years. If Tom’s rate of return is 9% and Jerry’s rate is 10% compounded annual

Margarita [4]

Answer:

The correct option is;

(f) 7.6%

Step-by-step explanation:

The given parameters are;

The number of years Tom and Jerry are investing their money, t = 8 years

The rate of return for Tom's investment, r₁ = 9%

The rate of return for Jerry's investment, r₂ = 10%

The rate at which the interest is compounded, n = Annually = 1

Let P represent the equal amount of money each of Tom and Jerry invested separately

The amount, A, of the investment is given by the following formula;

$A = P \times \left (1 + \dfrac{r}{n} \right ) ^{n \times t}$

Substituting the known values for Tom, gives;

$A = P \times \left (1 + \dfrac{0.09}{1} \right ) ^{1 \times 8} = P \times 1.09^8 \approx 1.993\cdot P$

The amount Tom has after 8 years ≈ 1.993·P

Substituting the known values for Jerry, gives;

$A = P \times \left (1 + \dfrac{0.1}{1} \right ) ^{1 \times 8} = P \times 1.1^8 \approx 2.144\cdot P$

The amount Jerry has after 8 years ≈ 2.144·P

The percentage amount Jerry has more than Tom after 8 years, PA is given as follows;

$PA = \dfrac{2.144 \cdot P - 1.993 \cdot P}{1.993 \cdot P} \times 100 = 7.57651781234\% \approx 7.6 \%$

The amount Jerry will have after 8 years than Tom = PA ≈ 7.6%.

5 0

3 years ago

The data show the traveler spending in billions of dollars for a recent year for a sample of the states. Round your answers to t

xz_007 [3.2K]

Answer:

The range of given data set is 90.

Step-by-step explanation:

We are given the following data:

20.9, 33.1, 21.8, 58.5, 23.5, 110.9, 30.4, 24.9, 74.1, 60.3, 40.4, 45.4

When this data is arranged in ascending order, we get:

20.9 , 21.8 , 23.5 , 24.9 , 30.4 , 33.1 , 40.4 , 45.4 , 58.5 , 60.3 , 74.1 , 110.9

Range is a measure of dispersion and can be easily calculated.

Formula:

$Range = \text{Maximum values - minimum value}$

$Range = 110.9 - 20.9 = 90$

Thus, the range of given data set is 90.

7 0

3 years ago

I took too many pills counting up the bills<br>Molly in my cup i can't tell you how it feel

AveGali [126]

Answer:

errday i b countin up countin up da blues count away sometimes we always lose

Step-by-step explanation:

juice wrld

5 0

3 years ago

Read 2 more answers

A cosmetics company decides to compare its new nail polish product, Bella, with three other nail polish brands: Primrose, Shine,

raketka [301]

Answer=B
The explanatory variable is another term for the independent variable. The independent variable is the 'thing' that YOU decide to change/manipulate in an experiment. The type of nail polish given was the independent variable for this experiment.

8 0

3 years ago

Find f(x) and g(x) so the function can be expressed as y = f(g(x)). (1 point)

Rina8888 [55]

Answer:

$g(x)=x^2+4$ and $f(x)=\frac{8}{x}$