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3 years ago

12

joey wants to buy $4,000 vehicle with 10% down for three years at 12% interest. What will his monthly payment be?

1 answer:

Nataly [62]3 years ago

5 0

Answer:

$119.57

Step-by-step explanation:

We have to find present value of annuity to find the monthly payment.

Given,

Present value, PV = $4,000

Down payment = $4,000 × 10% = $400

Remaining present value = $(4,000 - 400) = $3,600

Interest, i = 12% = 0.12

As we need monthly payment, the interest rate will be monthly = 0.12/12 = 0.01.

Number of period, n = 3

monthly payment, m = 12

We know,

Present value of annuity = PMT × $\frac{1 - (1 + \frac{i}{m})^{-n*m} }{\frac{i}{m} }$

$3,600 = PMT × $\frac{1 - (1 + \frac{0.12}{12})^{-3*12} }{\frac{0.12}{12} }$

or, $3,600 = PMT × 30.1075

or, PMT = $119.57

Monthly payment should be $119.57

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1 | Find the equivalent to:

Gennadij [26K]

Answer:

B) $\frac{7}{7^5}$

Step-by-step explanation:

$\frac{7^3*7^-2}{7^5} =\frac{1}{2401}$

$\frac{7}{7^5} =\frac{1}{2401}$

hope this helped!

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7 0

2 years ago

Solve the equation 6w2 – 7w – 20 = 0.

azamat

For this case we have the following quadratic equation:

$6w ^ 2-7w-20 = 0$

Where:

$a = 6\\b = -7\\c = -20$

Its roots will be given by:

$w = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}\\w = \frac {- (- 7) \pm \sqrt {(- 7) ^ 2-4 (6) (- 20)}} {2 (6)}\\w = \frac {7 \pm \sqrt {49 + 480}} {12}\\w = \frac {7 \pm \sqrt {529}} {12}\\w = \frac {7 \pm23} {12}$

The roots are:

$w_ {1} = \frac {7 + 23} {12} = \frac {30} {12} = \frac {15} {6} = \frac {5} {2}\\w_ {2} = \frac {7-23} {12} = \frac {-16} {12} = - \frac {8} {6} = - \frac {4} {3}$

Answer:

$w_ {1} = \frac {5} {2}\\w_ {2} = - \frac {4} {3}$

7 0

3 years ago

Read 2 more answers

If x=10, write an expression in terms of x for the number 5,364

LenKa [72]

Answer:

(5,354 + x)

or

536.4*x

Step-by-step explanation:

We know that x = 10.

Now we want to write an expression (in terms of x) for the number 5,364.

This could be really trivial, remember that x = 10.

Then: (x - 10) = 0

And if we add zero to a number, the result is the same number, then if we add this to 5,364 the number does not change.

5,364 = 5,364 + (x - 10) = 5,364 + x - 10

5,364 = 5,354 + x

So (5,354 + x) is a expression for the number 5,364 in terms of x.

Of course, this is a really simple example, we could do a more complex case if we know that:

x/10 = 1

And the product between any real number and 1 is the same number.

Then:

(5,364)*(x/10) = 5,364

(5,364/10)*x = 5,364

536.4*x = 5,364

So we just found another expression for the number 5,364 in terms of x.

5 0

3 years ago

Lyrx [107]

<h2>Answer:</h2>

<em>You will bike 30.2 miles in the seventh day according to the prediction.</em>

<h2>Explanation:</h2>

Here we have the following data, You bike

5 miles the first day of your training,

5.4 miles the second day,

6.2 miles the third day, and

7.8 miles the fourth day.

So we can know some facts:

From the first day to the second day the number of miles increases:

$5.4-5=0.4mi$

From the second day to the third day the number of miles increases:

$6.2-5.4=0.8mi$

From the third day to the fourth day the number of miles increases:

$7.8-6.2=1.6mi$

By taking a look at the pattern, we can see that each day you increases the number of miles by a factor of 2 compared to the previous day. So:

From the fourth day to the fifth day the number of miles increases:

$x_{5}-7.8=3.2mi \\ \\ x_{5}=7.8+3.2=11mi, \ \text{Day 5}$

From the fifth day to the sixth day the number of miles increases:

$x_{6}-11=6.4mi \\ \\ x_{6}=6.4+11=17.4mi, \ \text{Day 6}$

Finally:

From the sixth day to the seventh day the number of miles increases:

$x_{7}-17.4=12.8mi \\ \\ x_{7}=12.8+17.4=30.2mi, \ \text{Day 7}$

6 0

4 years ago

If 4 pounds of fish costs $9 dollars. How much will 9 pounds cost ?

ivanzaharov [21]

Answer:

The answer is $20.25.

Step-by-step explanation:

If you divide 9 by 4 first you will get 2.25 so then you multiply 2.25 by 9 you will get $20.25. Hope this is correct!

5 0

3 years ago