Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.

You can get a car loan with a term of three years at an APR of 5%. If you can afford a monthly payment of $450, how much can you borrow? (Round your answer to the nearest cent.)
$

Answer:

2

Step-by-step explanation:

9514 1404 393

Answer:

  1

Step-by-step explanation:

The slope formula is useful for this.

  m = (y2 -y1)/(x2 -x1)

  m = (4 -16)/(-6 -6) = -12/-12

  m = 1

The slope of the line through the given points is 1.

Answer:

ELHLADOE

Step-by-step explanation:

The number of ways using permutation and combination of ice cream is = 4*6*14 ways.

The distinctive methods of arranging a set of items right into a sequential order are termed Permutations. one of the several methods of choosing items from a massive set of gadgets, without thinking about an order is termed a mixture.

mixture and permutation are extraordinary methods of grouping elements of a set into subsets. In aggregate, the factors of the subset may be listed in any order. In a permutation, the elements of the subset are indexed in a particular order.

explanation:

using multiplication rule of probability.

=The number of choices is 4 cones

= The number of choices of flavour = 6

= The number of choices topping = 14

Hence total combination is = 4*6*14

336.

A permutation is a mathematical calculation of the variety of approaches a selected set can be organized, wherein the order of the arrangement topics.

Learn more about combination and permutation here:-https://brainly.com/question/11732255

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Answer:

The equation of the circle is [tex](x - 2)^2 + (y - 7)^2 = 21[/tex]

Step-by-step explanation:

Equation of a circle:

The equation of a circle, with center [tex](x_0,y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Diameter at the points (7,8) and (-3,6).

The diameter is the distance between these two points, so:

[tex]D = \sqrt{(-3-7)^2+(6-8)^2} = \sqrt{104}[/tex]

Radius is half the diameter, so:

[tex]r = \frac{\sqrt{104}}{2} = \frac{\sqrt{104}}{\sqrt{4}} = \sqrt{\frac{104}{4}} = \sqrt{21}[/tex]

So

[tex]r^2 = (\sqrt{21})^2 = 21[/tex]

Center:

Midpoint of the diameter, which is the mean of the coordinates. So

[tex]x_0 = \frac{7 - 3}{2} = \frac{4}{2} = 2[/tex]

[tex]y_0 = \frac{8 + 6}{2} = \frac{14}{2} = 7[/tex]

Then

[tex](x - 2)^2 + (y - 7)^2 = 21[/tex]

Answer:

33.33 repeating percent.

Step-by-step explanation:

So using the 20 percent, we can guess there will be 2 bulbs that are defective in the sample. So 2/10. But we are guessing there will be 6;6/10. We alreadly know the proablity of that is low. To be exact 2/6 (as they are both over ten we can get rid of that) or 1/3, or 33.333 repeating percent.

Hope this helps!

Answer:

umm sorry but you haven't given the examples yet!!

Answer:

$42.7893 or $42.79 rounded

Answer:

45 minutes

Step-by-step explanation:

60 minutes in one hour divided by four will give us 1/4

60/4=15

15*3= 45

45=3/4 of an hour

Answer:

x = 46

Step-by-step explanation:

Since the angle that is not marked is a vertical angle, is must be the same in each triangle

The sum of each triangle is 180, set them equal and subtract the same angle from each side, this leaves the equation

53+85 = x+92

138 = x+92

138-92 =x

46 =x

Answer:

850 boxes per hour hope that helps

Answer: 250 boxes of cereal per hour

Work: All i did was divide the 5950 boxes by the 7 hours. After that, I got the quotient 250.

Answer:

Straight

Step-by-step explanation:

Its 180° or a straight line

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Straight po di kopo sure

Step-by-step explanation:

Hope it helps

Answer:

10

Step-by-step explanation:

ABC is similar to RST,

so BC is corresponding to ST, and AC is corresponding to RT

BC=12 and ST=8

so the scale factor from RST to ABC is 1.5 and the scale factor from ABC to RST is 2/3 because 12*(2/3) is 8, and 8*1.5 is 12.

now apply this to AC to find RT

AC=15

15*(2/3)=10

10*1.5=15

RT =10

Answer:

f(x + 2) = 3x + 2

Step-by-step explanation:

Simply replace wherever you find x in the function f(x) with (x + 2), like so:

f(x + 2) = 3(x + 2) - 4

f(x + 2) = 3x + 6 - 4

f(x + 2) = 3x + 2

Answer:

(B) 39°

Step-by-step explanation:

30° + 24° + (3x -9°) = 180°

3x = 180° - 30° - 24° + 9°

3x = 117°|:3

x = 39°

Answer:

156

The angle measurement is reasonable.  It must be less than 180 which is a straight line

Step-by-step explanation:

Vertical angles are equal

3x = x+104

Subtract x from each side

3x-x = x+104-x

2x = 104

Divide by 2

2x/2 = 104/2

x = 52

3x = 3*52 = 156

The angle measurement is reasonable.  It must be less than 180 which is a straight line

Answer:

700,000 + 2,000 + 1

Step-by-step explanation:

Answer:

I can't exactly draw this out on this website, but I can tell you how to do it:

First, solve the inequality so it resembles a function:

7x - y ≥ 14

-y ≥ -7x + 14

y ≤ 7x - 14 (Both side multiply by -1)

Then, graph y = 7x - 14

Finally, because y is less than/equal to 7x - 14, shade in the area under/below the line(where the y-values are smaller).

Hope it's helpful enough

Answer:

(100,300)

Step-by-step explanation:

Just did it and got it right.

Answer:

c. 250

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

6+8x

Step-by-step explanation:

Answer:

The answer is A, the CPI is 25.50, and the rate of inflation is 2%.

Step-by-step explanation:

I took the test and I know the correct answer. :)

Answer:

E) 102 and 2%

Step-by-step explanation:

Answer:

Step-by-step explanation:

area of circle=πr^2

=3.14*5^2

=3.14*25

=78.5 ft^2

9514 1404 393

Answer:

  384 square yards

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW . . . . . where L and W stand for Length and Width

Using the given dimensions, you find the area to be ...

  A = (24 yd)(16 yd) = 24×16 yd² = 384 yd²

The area of the figure is 384 square yards.

Answer:

D. The slope of f(x) is less than the slope of g(x).

Step-by-step explanation:

✔️Slope of f(x):

Using two points on the line, (0, 2) and (1, -1),

Slope (m) = change in y/change in x

Slope (m) = (-1 - 2)/(1 - 0) = -3/1 = -3

Slope of f(x) = -3

✔️Slope of g(x) = -5x - 6:

The slope of g(x) is -5.

Therefore f(x) has a lesser absolute slope value (3) compared to the absolute slope value of g(x) (5).

Thus, D. the slope of f(x) is less than the slope of g(x).

Answer:

a) Then, t(s) is in the rejection region. We can not support that the mean annual premium in Pennsylvania is lower than the national mean annual premium

b) The point estimate of the difference is  59 $

Step-by-step explanation:

From sample we get:

sample size    n  =  25

annual mean   x  =  1440

standard deviation of the sample   s  =  150

mean for the mean annual premium    μ  = 1499

Hypothesis Test:

Null Hypothesis                      H₀           x  =   μ

Alternative Hypothesis          Hₐ           x  <   μ

Alternative Hypotesis indicates that the test is a one-tail test to the left

Let´s assume  confidence Interval 95 %    then  α  =  5 %   α = 0.05

As  n < 30 and we assume normality we will make a t-student test

degree of freedom    df  =  n  -  1    df  = 24

With df = 24  and  α = 0.05 and from t-student table we get t(c) =  - 1.711

To calculate t(s) we apply:

t(s)  =  (  x  -  μ ) / s/√n

t(s)  =  ( 1440  -  1499 ) * 5 / 150

t(s)  =  - 59/ 30

t(s)  =  - 1.96

Comparing t(s)  and t(c)  

|t(s)| > |t(c)|

Then, t(s) is in the rejection region. We can not support that the mean annual premium in Pennsylvania is lower than the national mean annual premium.

b) The point estimate for the difference is :   x  - μ  =  59 $

Answer:

Arithmetic Finance.

Compound interest

Step-by-step explanation:

when you're given the year sequence, principal and rate.

Answer:

Step-by-step explanation:

A = P ( 1 + r)^ n

This formula is used to find the Amount in Compound interest.

P --- Principal - the value we are depositing or taking loan

r - rate of interest

n --- number of years

A- amount that we get after n years or the loan to paid after n years

Answer:

1,848

Step-by-step explanation:

Find the arithmetic pattern:

*Arithmetic means addition or subtraction*

To get from 8 to 14, we must add 6.

To get from 14 to 20, we must add 6.

The arithmetic pattern is 6.

List the rest of the terms (24 terms total):

8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68, 74, 80, 86, 92, 98, 104, 110, 116, 122, 128, 134, 140, 146

Formula:

Sn = n (a1 + an/2)

a1 = first term

an = last term

n = number of terms

Sn = 24 (8 + 146/2)

Sn = 24 (154/2)

Sn = 24 (77)

Sn = 1,848

Answer:

1848

Step-by-step explanation:

a=8

d=14-8=6

n=24

[tex]S_{n}=\frac{n}{2} [2a+(n-1)d]\\S_{24}=\frac{24}{2} [2 \times 8+(24-1)6]\\=12[16+138]\\=12 \times 154\\=1848[/tex]

Answer:

41

Step-by-step explanation:

0,5r = 20,5|:0,5

r = 41