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matrenka [14]
3 years ago
15

You decide to put $5,000 in a savings account to save for a $6,000 downpayment on a new car. If the account has an interest rate

of 7% per year and is compounded monthly, how long does it take until you have $6,000 without depositing any additional funds?
Mathematics
2 answers:
Sliva [168]3 years ago
6 0

Answer:

2.61 years is how long it would take until you have $6,000 without depositing and additional funds.

Nuetrik [128]3 years ago
5 0

Answer:

Approx 2.61 years.

Step-by-step explanation:

Given that you decide to put $5,000 in a savings account to save for a $6,000 down payment on a new car.

That means A=6000 and P=5000

If the account has an interest rate of 7% per year and is compounded monthly,

Then r=7%= 0.07 and n=12 (monthly)

Now we need to find about how long does it take until you have $6,000 without depositing any additional funds.

So let's plug these values into compound interest formula and fine time t

A=P\left(1+\frac{r}{n}\right)^{\left(nt\right)}

6000=5000\left(1+\frac{0.07}{12}\right)^{\left(12t\right)}

\frac{6000}{5000}=\left(1+0.00583333333333\right)^{\left(12t\right)}

1.2=\left(1.00583333333333\right)^{\left(12t\right)}

\ln\left(1.2\right)=12t\ ln[tex]\frac{\ln\left(1.2\right)}{12\ln\left(1.00583333333333\right)}=t

\left(1.00583333333333\right)[/tex]

2.61218303577=t

Hence answer is approx 2.61 years.

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Evaluate the expression for a = 5, b = 11, and c = 3. 2a + 2c(b − 5) A. 64 B. 46 C. 54 D. 163
Artemon [7]

2a +2c(b-5)

substitute a=5 b=11 c=3

2(5) +2(3) (11-5)

10+6(6)

10+36

46

Choice B


8 0
3 years ago
9x-23=49 what is the second step in this equation?
ladessa [460]

Answer:

Divide both sides by 9.

Step-by-step explanation:

To find the second step of the equation, we actually have to solve parts of the equation until we get to step 2.

Step 1: Add 23 to both sides.

  • 9x - 23 + 23 = 49 + 23
  • 9x = 72

Step 2: Divide both sides by 9.

  • \frac{9x}{9} = \frac{72}{9}
  • x = 8

Therefore, the second step is divide both sides by 9.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

5 0
2 years ago
Line m is parallel to Line n.
soldi70 [24.7K]
I hope this helps. Have a good day.

6 0
3 years ago
Help me please<br> i only have 30 minutes until this is due
balu736 [363]

Answer:

4. sin 40= 0.7451131604793488384

5. cos 40= -0.666938061652261888

6. tan 50= -0.2719006119976306688

7. tan 40= -1.1172149309238962176

8. sin A= -0.5882162892399388672

9. cos A= -0.8087036521945458688

10. tan A= 0.7273570332515760128

4 0
3 years ago
A satellite is 19,000 miles from the horizon of Earth. Earth’s radius is about 4,000 miles. Find the approximate distance the sa
Jobisdone [24]

Answer:

The approximate distance is 15416 miles....

Step-by-step explanation:

We have given:

A satellite is 19,000 miles from the horizon of earth.

The radius is 4,000 miles.

Lets say that BC =x

AO = OB = 4,000 miles

AC = 19,000 miles

The tangent from the external point forms right angle with the radius of the circle.

So in ΔABC

(OC)² = (AC)²+(OA)²

where OC = x+4000

AC = 19,000

OA = 4000

Therefore,

(x+4000)² = (19,000)² +(4,000)²

Take square root at both sides:

√(x+4000)²  = √(19,000)² +(4,000)²

x+4000  =√361000000+16000000

x+4000 = √377000000

x+4000 = 19416.48

x= 19416.48 - 4000

x = 15416.48

Therefore the approximate distance is 15416 miles....

6 0
3 years ago
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