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Strike441 [17]
3 years ago
9

You take out a 7 month, $6,000 loan at 8% annual simple interest. How much would you owe at the end of 7 months?

Mathematics
1 answer:
vodka [1.7K]3 years ago
5 0

Answer: $6280

Step-by-step explanation:

7-month: $6000

rate: 8% annual

First find how much is 7 months out of 12 months (because a year has 12 months and this is annual interest)

Take the amount of months that you're trying to calculate and divide by 12.

\frac{7}{12}=0.583

Also convert 8% to decimals. You can do this by dividing by 100.

\frac{8}{100}=0.08

To calculate the interest, simply multiply the amount (6000) times the percentage (0.08) times the amount of months in decimal form (0.583).

(6000)(0.08)(0.583)

$279.84 or ≅ $280.00

Having found the interest, simply add it to the original amount (6000)

6000+280= $6280

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What is 100,572×135,689
shepuryov [24]

Answer:

13646514108

Step-by-step explanation:

Used calculator.

5 0
3 years ago
Read 2 more answers
Can someone help me with this?​
Anna35 [415]

Answer:

Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms

Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728

Now,

Sum =  \frac{a( {r}^{n} - 1) }{(r - 1)}   \\

So,

\frac{a( {r}^{n} - 1)}{(r - 1)}  = 728 \\  \frac{2( {3}^{n} - 1) }{(3 - 1)}  = 728 \\  \frac{2( {3}^{n} - 1) }{2}  = 728 \\  {3}^{n}  - 1 = 728 \\ {3}^{n}=728+1\\ {3}^{n}  = 729 \\  {3}^{n}  =  {3}^{6}  \\ \boxed{ n = 6}

Therefore, number of terms is 6

  • 6 is the right answer.
3 0
3 years ago
Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation h = ?16t + 160t + 12
insens350 [35]

Answer:

The time taken for the flare to hit the ground is approximately 10.7 seconds.

Step-by-step explanation:

Given : Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation h =- 16t^2+ 160t + 120 models the h height at t seconds of the flare.

To find : How long will it take for the flare to hit the ground?

Solution :

The equation  h =- 16t^2+ 160t + 120 models the h height at t seconds of the flare.

The flare to hit the ground when h=0.

Substitute in the equation,

-16t^2+ 160t + 120=0

Applying quadratic formula, x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Where, a=-16, b=160 and c=120

x=\frac{-160\pm\sqrt{160^2-4(-16)(120)}}{2(-16)}

x=\frac{-160\pm\sqrt{33280}}{-32}

x=\frac{-160\pm 182.42}{-32}

x=\frac{-160+182.42}{-32},\frac{-160-182.42}{-32}

x=−0.70,10.70

Reject the negative value.

Therefore, the time taken for the flare to hit the ground is approximately 10.7 seconds.

4 0
3 years ago
What is the property of equality for AM = AM
Andrew [12]

Answer:

Reflexive

Step-by-step explanation:

When a=a, it is called the reflexive property

a=b then b=a is the symmetric property

a=b b=c then a=c is the transitive property

7 0
2 years ago
you plan to go snowboarding this weekend in Pennsylvania. the resort charges $15.75 per hour in addition to a $25 deposit to ren
Ulleksa [173]

Answer:

A. Equation is c=25+15.75x

B. Cost is $88


Step-by-step explanation:

A)

Suppose you rent for x hours and each hour costs $15.75

<u><em>How much would you need to pay?</em></u>

15.75x

Moreover, there is a $25 dollar (fixed) deposit for renting, so that gets added to your payment. All in all, you have to pay 25+15.75x

This is the equation of renting a snowboard for x hours.

Equation is c=25+15.75x

  • Where x is the number of hours you rent the snowboard, and
  • c is the total cost

B)

If you are renting from 8.30 to 12.30, you are basically renting for 4 hours.

To know how much it will cost, you simply plug in 4 into x (in the equation):

c=25+15.75x\\c=25+15.75(4)\\c=88

Cost is $88

6 0
3 years ago
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