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a car loan is $2,500 with an interest rate of 8.5% for three years. what is the interest on the car loan?

a)$63,750

b)$212.50

c)$637.50

d)$6,375.00​

Answer:

[tex]X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\[/tex]

Step-by-step explanation:

Given the simultaneous equation

x+y=21

5x+4y=20

To write in matrix form, it must be in the form AX= b

X = A⁻¹b

A⁻¹ is the inverse of matrix A

A is a 2by2 matrix

X is the variables

b is a column matrix

The expression will therefore be written as;

[tex]A=\left[\begin{array}{ccc}1&1\\5&4\\\end{array}\right] \\\\|A| = 1(4)- 5(1)\\|A| = 4-5\\|A| = -1\\A^{-1} = -\left[\begin{array}{ccc}4&-1\\-5&1\\\end{array}\right] \\\\A^{-1} = \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \\[/tex]

Hence the required product matrix that represent X is;

[tex]X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\[/tex]

Answer:

it would be radical 7

15 = x²+ 8

x²= 15 - 8

x²= 7 >>>>> radical 7 = x

Step-by-step explanation:

hope it helps

Answer:

x = √7.

Step-by-step explanation:

Using the Pythagoras theorem:

x^2 = (√15)^2 - (2√2)^2

x^2 = 15 - 8

x = √7.

Step-by-step explanation:

It doesn't matter what order they are drawn in, so youi have a combination problem

26C5

My calculator gives the answer directly,

It is 65780

Answer:

Step-by-step explanation:

The given linear equation can be reduced, ending up as  

y - x = 4   or   y = x + 4

If we choose our own x values, we can calculate the corresponding y value in each case:

x     y = x + 4    ordered pairs

0     4                (0, 4)

1      5                 (1, 5)

3      7                (3, 7)

-2     2                (-2, 2)

Answer:

x=3

y=0

Step-by-step explanation:

2x-3=3

2x=6

x=3

x+y=3

3+y=3

y=0

Answer:

ans: x= 3 and y= 2

Step-by-step explanation:

equating corresponding order pair,

x + y = 5 and

2x-3 = 3

so x=6/2 I.e

x= 3

putting x in

x + y = 5

y = 5- 3

y = 2

Answer: 99/130

Payment made by any method except credit card is 95+4=99 and altogether there is three payment method including a credit card which sums up to 130.

So the probability is 99/130.

Answer:

C

Step-by-step explanation:

y=-7x-11

Answer:

28 inches

Step-by-step explanation:

The circumference is given by

C = pi *d

C = 22/7 ( 9)

C =198/7

    =28.28571429 inches

Answer:

First one 2(x^2-4)

Like that you can do

Step-by-step explanation:

Vote as brainliest

Answer:

4(a). 2(x^2 - 4)

(e). ab(a^2 - b^2)

5(a). (x + 2)^2

(d). (x - 4)^2

6(a). -(3x - )^2

(b). 2(x-5)(x+5)

Step-by-step explanation:

If this helps you, please give brainliest!

Answer:

Compared to a standard cosine function, the graph has a phase shift of [tex]5\pi/6[/tex] to the right, and compared to a sine function it has a phase of shift of [tex]\pi/6[/tex] to the right.

Step-by-step explanation:

The standard cosine function [tex]y=\cos x[/tex] has its maximum (vertex of the interval concave down) intersect with the y-axis. In this case, that part is shifted [tex]\frac{5\pi}{6}[/tex] to the right.

The standard sine function [tex]y=\sin x[/tex] has the point where it crosses its midline intersect with the x-axis. In this case, that part is shifted [tex]\frac{\pi}{6}[/tex] to the right.

Answer:

Have you got it now?

Step-by-step explanation:

Answer:

15°

Step-by-step explanation:

A regular polygon is a polygon in which all the sides and angles of the polygon are equal to each other.

A regular 12-sided polygon is a polygon with 12 equal sides and angles.

The sum of interior angles of a polygon is given as:

sum = (2n - 4)90; where n is the number of sides of the polygon

For a 12 sided polygon:

Sum of interior angles = (2 * 12 - 4)90 = (24 - 4)90 = 20 * 90 = 1800°

Therefore since all the angles are equal, each angle = 1800° / 12 = 150°

Therefore in the question, ∠PQR = 150° (angle of a 12 sided polygon), ∠PRQ = ∠QPR = x

Therefore in triangle PQR:

∠PQR + ∠PRQ + ∠QPR = 180°

150 + x + x = 180

150 + 2x = 180

2x = 30

x = 15°

∠PRQ = 15°

Answer:

86 boxes

Step-by-step explanation:

Question 23

Recall that a kite in geometry is any four sided figure where we have two different pairs of adjacent sides that are the same length.

We're told that PS = 4.5 and RS = 6. So this isn't an adjacent pair of congruent sides. But we can say that PS and PQ are one pair of adjacent congruent sides. That makes PQ to be 4.5 cm long.

Similarly, RS = RQ = 6 is the other pair of adjacent congruent sides. Notice that triangle PQR reflects over line PR to get triangle PSR.

See the diagram below.

Answer:

its the first one

Step-by-step explanation:

Step-by-step explanation:

25% of 4kg 200g

25/100 × 4.200

4.200/4

=1.05 kg or 1kg 50g

The lower the frequency the least common the average.

There are two frequencies that are 1, which would be the least common.

The answer is C. 0.320-0.329 and 0.360 -0.369

Answer:

option C

Step-by-step explanation:

option c is contains the two batting averages which have a frequency of 1, this means that they both only occurred once which is the least amount of times any of the batting averages has occurred.

Answer:

=53

Step-by-step explanation:

a=5-b     &.    a=9+b

combine

5-b=9+b

-4=2b

b= -2

thus, a=7

(-2)^2 + (7)^2

4+49

=53

Answer:

$2907.89

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Algebra i

Compounded Continuously Formula: [tex]\displaystyle A = Pe^{rt}[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

P = 930

t = 19

r = 6% = 0.06

Step 2: Find Interest

Answer:

F

Step-by-step explanation:

y should be greater than x and greater than 2.

x should be greater than 4 but less than y

Answer:

The slope is -3 and the y intercept is 7

Step-by-step explanation:

3x+y = 7

We can write the equation in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -3x+7

The slope is -3 and the y intercept is 7

Step-by-step explanation:

−2(4y+1)=−8y−2

4y+1=4y+1

infinite solutions

Answer:

Infinitely many solutions

Step-by-step explanation:

-2(4y+1)=−8y−2

=> -2(4y)-2(1)= -8y-2

=> -8y-2=-8y-2

=> Infinitely many solutions as x from both sides get cancelled

Answer:

36,738

Step-by-step explanation:

The first step is to calculate the radius

= 60/2

= 30

Therefore the volume can be calculated as follows

= πr^2h

= 3.142 × 30^2 × 13

= 3.14× 900×13

= 36,738 cubit feet

Hence the volume of the grain pile is 36,738 cubic feet

Answer:

(-35, 0)

Step-by-step explanation:

x- intercept => y =0

y = -68, -51, -34, -17, 0

x = -79, -68, -57, -46, -35

(x, y) =>(-35, 0)

Answer is C

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