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3 years ago

I attached the picture please help!

Mathematics

1 answer:

zzz [600]3 years ago

7 0

Answer:

29 Minutes

Step-by-step explanation:

To Solve The First Step of The Equation, You Need To Solve For 25x20/100.

Your answer will be five. To simplify, think 25 percent of 100. 25 can go into 100 four times, therefore 5 can go into 20 four times. Marcus Spent 5 minutes on soccer the first day.

For the second part, use the same equation. 40x60/100. You should get 24, so Marcus practiced 24 minutes the next day.

Add the two together, and you should get 29.

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2. Harry just deposited $1500 into a savings account giving 6% interest compounded quarterly.a) How much will be in the account

Studentka2010 [4]

The formula for compound interest is:

$\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ \text{where,} \\ A=\text{ Final amount} \\ r=\text{ Interest rate} \\ n=\text{ Number of times interest applied per period} \\ t=\text{ Number of time period elapsed} \\ P=\text{ Intial principal balance} \end{gathered}$

Given data:

$\begin{gathered} P=\text{ \$1500} \\ r=6\text{ \%}=0.06 \\ n=4\text{ times (compounded quarterly)} \end{gathered}$

a. After ten years, that is t = 10 years, the amount in the account will be

$\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times10} \\ A=\text{ }1500(1+0.015)^{40} \\ A=\text{ }1500(1.015)^{40} \\ A=\text{ \$2721.03} \end{gathered}$

b. After twenty years, that is t = 20 years, the amount in the account will be:

$\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times20} \\ A=1500(1.015)^{4\times20} \\ A=1500(1.015)^{80} \\ A=\text{ \$}4935.99 \end{gathered}$

c. The time it takes for Harry's initial account value to double will be:

$\begin{gathered} A=2\text{ x initial value = 2 }\times\text{ \$1500 = \$3000} \\ 3000=1500(1.015)^{4t} \\ (1.015)^{4t}=\frac{3000}{1500} \\ (1.015)^{4t}=2 \\ \text{ Find the logarithm of both sides} \\ \ln (1.015)^{4t}=\ln 2 \\ 4t=\frac{\ln 2}{\ln 1.015} \\ 4t=46.56 \\ t=\frac{46.56}{4}=11.64 \end{gathered}$

Therefore, the time it takes Harry's initial account to double is approximately 11 years

8 0

1 year ago

Match each circular flower bed on the left to its circumference and its area on the right. Some answer options on ti

user100 [1]

Answer:

Flower bed A has circumference = 31 feet, area = 79 feet²

Flower bed B has circumference = 38 feet, area = 113 feet²

Step-by-step explanation:

* Lets revise the rules of the circumference and the area of the circle

- The circumference of the circle = 2πr

- The Area of the circle = πr²

- r is the radius of the circle and it is half the diameter of the circle

# Flower bed A has a diameter 10 feet

∵ The radius = 1/2 the diameter

∴ The radius = 1/2 × 10 = 5 feet

∵ The circumference = 2πr

∴ The circumference = 2 × π × 5 = 31.42 ≅ 31 feet

∵ The area = πr²

∴ The area = π (5)² = 78.54 ≅ 79 feet²

* Flower bed A has circumference = 31 feet, area = 79 feet²

# Flower bed B has a radius 6 feet

∵ The circumference = 2πr

∴ The circumference = 2 × π × 6 = 37.70 ≅ 38 feet

∵ The area = πr²

∴ The area = π (6)² = 113.10 ≅ 113 feet²

* Flower bed B has circumference = 38 feet, area = 113 feet²

* These answers not in the choices

8 0

3 years ago

What is the median of the data set given below?

Sholpan [36]

Answer:

C. 19

Step-by-step explanation:

If you arrange the numbers in ascending order, the middle number is 19.

5 0

3 years ago

Read 2 more answers

A store has 20 apples in its inventory. How can you store this information in a javascript variable?.

Lelu [443]

Answer:

var apples;

apples = 20;

4 0

2 years ago

Complete the slope equation of the line through 2,3 and 7, 4 Y-4=

In-s [12.5K]

Answer:

The slope equation of the line AB is $(y -4) = \frac{1}{5} (x-7)$

Step-by-step explanation:

Here, the given points are A (2, 3) and B (7,4).

Now, slope of any line is given as :

$m = \frac{y_2 - y_1}{x_2 - x_1}$

or, $m = \frac{4 -3}{7-2} = \frac{1}{5}$

Hence, the slope of the line AB is (1/5)

Now , A POINT SLOPE FORM of an equation is

(y - y0) = m (x - x0) ; (x0, y0) is any arbitrary point on line.

Hence, the equation of line AB with slope (1/5 ) and point (7,4) is given as:

$(y -4 ) = \frac{1}{5} ( x - 7)$

or, 5y - 20 = x -7

⇒ x - 57 + 13 = 0 ( SIMPLIFIED FORM of equation)

Hence, the slope equation of the line AB is $(y -4) = \frac{1}{5} (x-7)$

3 0

2 years ago