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andrew-mc [135]

1 year ago

12

Raymond bought a car for $40,000. He took a 20,000 loan from a bank at an interest rate of 15% per year for a 5 - year period. W

hat is the total amount ( interest and loan) that he would have to pay rhe bank at the end of 5 years

1 answer:

jenyasd209 [6]1 year ago

3 0

Answer:

$35,000

Step-by-step explanation:

The amount that would be repaid = amount borrowed + interest earned on loan

interest earned on deposit can be determined by determining the simple interest

Simple interest = principal x time x interest rate

principal = the amount deposited = 20,000

Time = the duration of the deposit =5

interest rate = the percentage on deposit that would be earned = 15

20,000 x 5 x 0.15 = $15,000

total = 20,000 + 15,000 = $35,000

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If the perimeter of a square is 5 feet, how many inches long is each side of the square?

marysya [2.9K]

Well since we know that the perimeter of a square is four times the length of one of its sides. We just have to divide 5 by 4 to get the length of one side:

5feet /4 sides = 1.25 feet

And to finish off, we have to convert feet to inches:

<u>1 foot </u>= <u>12 inches</u>
1.25 feet x inches

x inches = 12 inches x 1.25 feet ÷ 1 foot
x inches = 15 inches

Therefore, each side is 15 inches long.

Hope this helps!

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2 years ago

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Determine the values of c so that the following functions represent joint probability distributions of the random variables X an

Anna11 [10]

Answer:

The joint probility density will be c = 1/36

The joint probability distribution will be c = 1/15

Step-by-step explanation:

For step by step explanation see the pucture attached

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1 year ago

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Jamal is comparing his transportation options for an upcoming trip. He’s considering a rental car and a taxi service. Based on h

ZanzabumX [31]

Answer:

The range of rental car rates that would be cheaper for Jamal than the taxi service is given by,

A ={x| 0 ≤ x < 26} [where x is in dollar]

Step-by-step explanation:

Let, the car rental rate be $ x per day .

Jamal's trip will last for 4 day.

He expects to pay $ 24 for gas (if he rents the car)

He expects a taxi service would cost about $ 128

So, for the rental car option to be cheaper than the taxi option, the following inequality must follow,

128 > 24 + 4x

⇒ 4x < 104

⇒ x < 26

So, the range of rental car rates that would be cheaper for Jamal than the taxi service is given by,

A ={x| 0 ≤ x < 26} [where x is in dollar]

3 0

2 years ago

Darren invests $4,500 into an account that earns 5% annual interests. How much will be in the account after 10 years if the inte

xz_007 [3.2K]

We have been given that Darren invests $4,500 into an account that earns 5% annual interests. We are asked to find the amount in his account after 10 years, if the interest rate is compounded annually, quarterly, monthly, or daily.

We will use compound interest formula to solve our given problem.

$A=P(1+\frac{r}{n})^{nt}$ , where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

$5\%=\frac{5}{100}=0.05$

When compounded annually, $n=1$ :

$A=4500(1+\frac{0.05}{1})^{1\cdot 10}$

$A=4500(1.05)^{10}$

$A=4500(1.6288946267774414)$

$A=7330.025820498\approx 7330.03$

When compounded quarterly, $n=4$ :

$A=4500(1+\frac{0.05}{4})^{4\cdot 10}$

$A=4500(1.0125)^{40}$

$A=4500(1.6436194634870132)$

$A=7396.28758569\approx 7396.29$

When compounded monthly, $n=12$ :

$A=4500(1+\frac{0.05}{12})^{12\cdot 10}$

$A=4500(1.00416666)^{120}$

$A=4500(1.64700949769)$

$A=7411.542739605\approx 7411.54$

When compounded daily, $n=365$ :

$A=4500(1+\frac{0.05}{365})^{365\cdot 10}$

$A=4500(1.0001369863013699)^{3650}$

$A=4500(1.6486648137656943695)$

$A=7418.9916619456\approx 7419.00$

Since amount earned will be maximum, when interest is compounded daily, therefore, Darren should use compounded daily interest rate.

4 0

2 years ago

An animal shelter needs to find homes for 40 dogs and 60 cats. If 15% of the dogs are female, and 25% of the cats are female, wh

Harrizon [31]

Answer:

21% of the animals are female

Step-by-step explanation:

In total:

There are 40 + 60 = 100 animals.

Female animals.

40 dogs. Of those, 15% are female. So 0.15*40 = 6.

60 cats. Of those, 25% are female. So 0.25*60 = 15.

21 female animals.

21/100 = 0.21 = 21%

21% of the animals are female

3 0

2 years ago