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4 years ago

Please answer this this question is a motion problem:

1 answer:

7 0

T1 + t2 = 2h and 30min;
t1 * 600 = t2 * 400 => t2 = (3/2) * t1;

then, t1 + (3/2) * t1 = 2h and 30min => 2t1 + 3t1 = 5h => 5*t1 = 5h => t1 = 1h => t2 = 1h and 30 min;

The distance is 2 * 1 * 600 = 1200miles;

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What is cos(47)=x/3 solve for x

vlada-n [284]

X=141 ..............

4 0

3 years ago

A rental agency charges a fee of 6% of month's rent for finding an apartment. Nikolai is looking at apartments with monthly rent

DIA [1.3K]

Since $880 is the cheapest apt., we will use that one. The. 880 + 6%= $932.80

4 0

4 years ago

Sandi lives 5 miles from her school. One day, she took the bus from her house to school. After school, she went to the library t

Fiesta28 [93]

Her house to school is 5 miles.

The distance on the map is 2.5 inches, so we know 2.5 inches equals 5 miles.

Divide 5 miles by 2.5 inches to find miles per inch:

5 / 2.5 = 2 miles per inch.

Now you can multiply the other dimensions on the map by 2 to find total miles:

School to Library = 3 x 2 = 6 miles.

Library to Park = 1.5 x 2 = 3 miles.

Total distance traveled: 5 + 6 + 3 = 14 miles.

3 0

3 years ago

Read 2 more answers

2. The amount of an ordinary $9000.00 annuity for 3 years at 12 percent compounded quarterly is _______? Show work.

larisa [96]

Answer:

The amount after three years is $12831.8

Step-by-step explanation:

* Lets revise the compound interest

- The formula for compound interest is A = P (1 + r/n)^(nt)

Where:

# A = the value of the investment with interest

# P = the initial investment amount

# r = the annual interest rate (decimal)

# n = the number of times that interest is compounded per unit t

# t = the time the money is invested

* Now lets solve the problem

∵ The initial amount is $9000

∴ P = $9000

∵ The rate is 12%

∴ r = 12/100 = 0.12

∵ The interest is compound quarterly

∴ n = 4

∵ The money invested for 3 years

∴ t = 3

∵ A = P (1 + r/n)^(nt)

∴ A = 9000(1 + 0.12/4)^(4×3)

∴ A = 9000(1 + 0.03)^12

∴ A = 9000(1.03)^12 = $12831.8

4 0

3 years ago

When you graduate college at the age of 20, you want to start saving up for retirement. If your investment pays a fixed APR of 9

Dominik [7]

Answer-

You need to deposit $337.62 each month, to reach this goal.

Solution-

We know that,

$\text{FV of annuity}=P[\frac{(1+r)^n-1}{r}]$

Where,

P = periodic payment

r = rate per period

n = number of period

Here,

$FV\ of\ annuity=2,500,000,\\\\P=?,\\\\r = 9\%\ annually=\frac{9}{12}\%\ monthly=\frac{9}{1200}\ monthly\\\\n=45\ years=45\times 12=540\ months$

Putting the values,

$\Rightarrow 2500000=P[\frac{(1+\frac{9}{1200})^{540}-1}{{\frac{9}{1200}}}]$

$\Rightarrow P=\frac{2500000}{[\frac{(1+\frac{9}{1200})^{540}-1}{{\frac{9}{1200}}}]}$

$\Rightarrow P=\frac{2500000}{\frac{56.5365-1}{0.0075}}$

$\Rightarrow P=\frac{2500000}{\frac{55.5365}{0.0075}}$

$\Rightarrow P=337.62$

4 0

3 years ago

Read 2 more answers