The probability of a car sold is white is 0.12

A particular model rocket kit uses the scale 1 : 144. The actual rocket is 168ft tall. How tall will the model rocket be when co

Irina18 [472]

answer is equal to 168/144

7/6feet

5 0

3 years ago

Al can wash a car in 60 minutes, and bill can wash a car in 30 minutes. cathy can wash a car in 20 minutes. how long, in minutes

choli [55]

B) 36

To figure this out you need to average the numbers. To average them you add them all up and divide by how many are there.
(60+30+20)/3
(90+20)/3
110/3
36

3 0

4 years ago

You saved $20,000.00 and want to diversify your monies. You invest 45% in a Treasury bond for 3 years at 4.35% APR compounded an

Maru [420]

Compound Interest

A total of $20,000 is invested in different assets.

45% is invested in a Treasury bond for 3 years at 4.35 APR compounded annually.

For this investment, the principal is P = 0.45*$20,000 = $9,000.

The compounding period is yearly, thus the interest rate is:

i = 4.35 / 100 = 0.0435

The duration (in periods) is n = 3

Calculate the final value with the formula:

$M=P_{}(1+i)^n$

Substituting:

$\begin{gathered} M=\$9,000_{}(1+0.0435)^3 \\ M=\$9,000\cdot1.136259062875 \\ M=\$10,226.33 \end{gathered}$

The second investment is a CD at 3.75% APR for 3 years compounded annually. The parameters for the calculations are as follows:

P = 15% of $20,000 = $3,000

i = 3.75 / 100 = 0.0375

n = 3

Calculating:

$\begin{gathered} M=\$3,000_{}(1+0.0375)^3 \\ M=\$3,000\cdot1.116771484375 \\ M=\$3,350.31 \end{gathered}$

The third investment is in a stock plan. The initial value of the investment is

P = 20% of $20,000 = $4,000

By the end of the first year, the stock plan increased by 8%, thus its value is:

M1 = $4000 * 1.2 = $4,800

By the end of the second year, the stock plan decreased by 4$, thus the value is:

M2 = $4,800 * 0.96 = $4,608

Finally, the stock plan increases by 6%, resulting in a final balance of:

M3 = $4,608 * 1.06 = $4,884.48

Finally, the last investment is in a savings account at 2.90% APR compounded annually for 3 years (not mentioned, but assumed).

P = $20,000 - $9,000- $3,000 - $4,000 = $4,000

i = 2.90 / 100 = 0.029

n = 3

Calculating:

$\begin{gathered} M=\$4,000_{}(1+0.029)^3 \\ M=\$4,000\cdot1.089547389 \\ M=\$4,358.19 \end{gathered}$

To summarize, the final balances for each type of investment at the end of the third year are:

Investment 1; $10,226.33

Investment 2: $3,350.31

Investment 3: $4,884.48

Investment 4: $4,358.19

Total balance: $22,819.32

3 0

1 year ago

Mom put plums and apples onto a plate. The ratio of the number of plums to the number of apples was 3:2. How many fruit did mom

Delvig [45]

Answer:

30 fruits

Step-by-step explanation:

Let

x ----> number of plums on the plate

y ----> number of apples on the plate

we know that

The ratio of the number of plums to the number of apples was 3:2

so

$\frac{x}{y} =\frac{3}{2}$

$x=1.5y$ ----> equation A

After Ed took 6 plums from the plate, the number of plums remaining on the plate became the same as the number of apples

so

$x-6=y$ ----> equation B

substitute equation A in equation B

$1.5y-6=y$

solve for y

$1.5y-y=6\\0.5y=6\\y=12$

Find the value of x

$x=1.5(12)=18$

therefore

Mon put on the table

$x+y=18+12=30\ fruits$

5 0

3 years ago

Read 2 more answers

The length.of a hypotenuse of a right triangle is 32feet and the length of one of the lrgs is 18 feet. what is the length, to th

gayaneshka [121]

Use Pythagorean's Theorem to solve for the missing leg length.

$32^2-18^2=a^2$

with a being the length of the missing leg. Simplifying we have

$1024-324=a^2$

and

$a^2=700$ . If we are told to express our answer to the nearest tenth of an inch, then we are simply plugging that into our calculator to get 26.45 or, rounded correctly, 26.5

6 0

3 years ago