4. Jean borrows $12,000 for 8 years at 6% interest. What is the approximate cost of
the loan? What is Jean's approximate total cost? What is Jean's approximate
monthly payment?

Pls solve!!!

The average rate of change (AROC) of a function f(x) on an interval [a, b] is equal to the slope of the secant line to the graph of f(x) that passes through (a, f(a)) and (b, f(b)), a.k.a. the difference quotient given by

[tex]f_{\mathrm{AROC}[a,b]} = \dfrac{f(b)-f(a)}{b-a}[/tex]

So for f(x) = x² on [1, 5], the AROC of f is

[tex]f_{\mathrm{AROC}[1,5]} = \dfrac{5^2-1^2}{5-1} = \dfrac{24}4 = \boxed{6}[/tex]

Answer:

69

Step-by-step explanation:

All angles in a triangle = 180°

35 + x + (x+7) = 180

42 + 2x = 180

2x = 138

x = 69

Hope this helps!

Answer:

differentiation

Step-by-step explanation:

maths class

[tex]y = 14r^2 + 70r + 72\\\text{let}\ y = 0\\12r^2 + 70r + 72 = 0\\6r^2 + 35r + 36 = 0\\(2r + 9)(3r + 4)\\[/tex]

The lateral surface area of cone A is exactly 1/2 the lateral surface area of cylinder B is option (A) true.

The lateral surface area of a figure is the area of the non-base faces only. The lateral surface of an object is all of the sides of the object, excluding its base and top.

For the given situation,

The diagram shows the cone A and the cylinder B.

Cone A has the radius r and the slant height as h.

Cylinder B has the radius r and the height as h.

The lateral surface area of cone is [tex]\pi rh[/tex]

The lateral surface area of cylinder is [tex]2\pi rh[/tex]

1/2 × lateral surface area of cylinder B,

⇒ [tex]\frac{1}{2} (2\pi rh)[/tex]

⇒ [tex]\pi rh[/tex] = lateral surface area of cone A.

Hence we can conclude that the lateral surface area of cone A is exactly 1/2 the lateral surface area of cylinder B is option (A) true.

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Answer:

x = 15 , y = 15√(2)

Step-by-step explanation:

The triangle is isosceles where two angles are the same which mean two sides are also the same.

x = 15°

Pythagorean Theorem: a^2 + b^2 = c^2

15^2 + x^2 = y^2

15^2 + 15^2 = y^2

225 + 225 = y^2

450 = y^2

y = √(450) = 15√(2)

Answer:

x=15 and y=15root2

Step-by-step explanation:

tan45=p/b

1=x/15

x=15

again for right angle trangle

h=root (p+b)

=15root2 ans

Answer:

(3x - 5  )

(2x + 5)

Step-by-step explanation:

f(x) =  6x² + 5x - 25

Let's factor it:-

We need 2 numbers whose product = ( 6*-25) = -150 and whose sum =  + 5.

These are 15 and -10. So we write:

f(x) = 6x^2 + 15x - 10x - 25

= (3x - 5)(2x + 5)

= 3x(2x + 5) - 5(2x + 5)

So the factors are  (3x - 5) and (2x + 5)

Answer

-4=lnx

Step-by-step explanation:

So if you raise both side to the ln then the e's cancel out and you are left with lnx=-4

another way to think about it is this:

Answer:

opal : 5

lynette : 7.5 (7 hrs and 30 mins)

Step-by-step explanation:

Answer:

x = 14,641

Step-by-step explanation:

[tex] \sqrt{x} = 121 \\squaring \: both \: sides \\ \implies \: {( \sqrt{x}) }^{2} = {(121)}^{2} \\ \\ \implies \: x = 14,641[/tex]

Answer:

UY = 20

WX = 15

VW = 15

Step-by-step explanation:

Given:  UVWXY ~ HDEFG

From inspection of the diagram, the corresponding sides are:

UV~HD

VW~DE

WX~EF

XY~FG

UY~HG

The only pair of sides that both have side lengths are XY and FG. Therefore, we can use these to figure out the scale factor of dilation.

XY = 10 and   FG = 20

⇒ FG/XY= 20/10 = 2

Therefore, HDEFG is an enlargement of UVWXY by a scale factor of 2

If HG = 40

⇒ UY = 40 ÷ 2 = 20

If EF = 30

⇒ WX = 30 ÷ 2 = 15

If DE = 30

⇒ VW = 30 ÷ 2 = 15

Answer:

UY = 20, WX = 15, VW = 15

Step-by-step explanation:

Step 1:  Determine the scale

XY = 10 and FG = 20

[tex]10/20 = 0.5[/tex]

Step 2:  Determine UY

We can determine UY by multipliying GF by 0.5 which will give us the upscaled ratio which will produce UY.

[tex]UY = GF * 0.5[/tex]

[tex]UY = 40 * 0.5[/tex]

[tex]UY = 20[/tex]

Step 3:  Determine WX

We can determine WX by multipliying FE by 0.5 which will give us the upscaled ratio which will produce WX.

[tex]WX = FE * 0.5[/tex]

[tex]WX = 30 * 0.5[/tex]

[tex]WX = 15[/tex]

Step 4:  Determine VW

We can determine VW by multipliying ED by 0.5 which will give us the upscaled ratio which will produce VW.

[tex]VW = ED * 0.5[/tex]

[tex]VW = 30 * 0.5[/tex]

[tex]VW = 15[/tex]

Answer: UY = 20, WX = 15, VW = 15

Answer:

1. Reflection across y=0

2. Shifted 6 units right

Answer:

Step-by-step explanation:

A translation of 6,-6  followed by a rotation of 180 degrees

Answer:

2.99973 but i would put 3 just incase

Step-by-step explanation:

just search on the internet "right triangle calculator"  and click one of the links

Answer:

C. 1

Step-by-step explanation:

Given:

[tex]\displaystyle \large{\sqrt{\sqrt{\sqrt{x}}} = 16}[/tex]

The equation can be rewritten as:

[tex]\displaystyle \large{\sqrt[8]{x} = 16}[/tex] via surd property.

Since it’s an even surd, that means there only exists zero-positive numbers for value of x.

To solve this surd equation, simply clear out the surd by powering both sides by 8:

[tex]\displaystyle \large{\left(\sqrt[8]{x}\right )^8=(16)^8}[/tex]

Cancel the surd:

[tex]\displaystyle \large{x=16^8}[/tex]

Now, evaluating 16^8 will give up a million and that’s not necessary because we are finding how many solutions this equation has. Since theee only exists one value of x, which is the solution to this equation. Therefore:

Your answer is 1 solution

2x+9+3x+x=6x+9

⇒ INFINITE SOLUTUIONS

Answer:

98 = 2w + 2L,

L = 3w

Step-by-step explanation:

Use the perimeter formula:

2) Perimeter = 2w + 2L (where w is the width and L is the length)

Since the length is three times the width we can write:

L = 3w

We can substitue L with 3w:

Perimeter is equal to 98 so,

98 = 2w + 6w = 8w

W = 98/8

Therefore w is 12.25, and L is 36.75

Answer:

y=14,x=8

Step-by-step explanation:

We know that in congruent triangles, angle measures and side lengths are equal.

Therefore <b=<e and AB=DE

80=6y-4

84=6y

y=14

3x-y=10

3x-14=10

3x=24

x=8

Answer:

2. The change in expected height for every one additional centimeter of femur length.

Step-by-step explanation:

1. The expected height for someone with a femur length of 65 centimeters.

Doesn't make sense, that would be height value when centimeters = 65.

2. The change in expected height for every one additional centimeter of femur length.

Makes sense, for every increase in one additional centimeter, we can expect the height to be proportional to the slope.

3. The femur length for someone with an expected height of 2.5 centimeters.

Doesn't make sense, the linear relationship relies on the femur length to get the height.

4. The change in expected femur length for every one additional centimeter of height.

Doesn't make sense, again, the linear relationship relies on the femur length.

The factorization of the polynomial [tex]x^2 + 6x + 8 is (x + 2)(x + 4)[/tex], which is option A.

To factor the polynomial[tex]x^2 + 6x + 8[/tex], we need to find two numbers whose product is 8 and whose sum is 6, since we're looking for two terms that add up to the middle coefficient of the quadratic expression.

The factors of 8 are ±1, ±2, ±4, and ±8. The pairs of factors that add up to 6 are (2, 4) and (-2, -4). Since the second coefficient is positive, we can select the pair (2, 4), since their sum is positive 6.

Using these factors, we can rewrite the quadratic expression as:

x^2 + 6x + 8 = (x + 2)(x + 4)

We can check our work by expanding the factors using the distributive property:

(x + 2)(x + 4) =[tex]x^2 + 4x + 2x + 8 = x^2 + 6x + 8[/tex]

This confirms that the factorization is correct.(option-a)

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Answer:

Hence, the height of the trapezoidal base is 7.2 ft.

Step-by-step explanation:

The height of the trapezoidal base is 7.2 ft.

Step-by-step explanation:

Consider the provided information.

The volume of trapezoidal prism is the area of the cross-section × the length.

Where B is the area of base, H is the length and V is the volume.

The length of the prism is 25.2ft and volume is 1279.152

Hence, the base area is 50.76 ft².

The base is trapezoid.

The area of trapezoid is

Substitute B=50.76,  in above formula.

Hence, the height of the trapezoidal base is 7.2 ft.

Answer:

The answer is B, [3,10].

Step-by-step explanation:

Answer:

Number of calculators n(C)=860

Number of defectives n(D)=9

The probability of a random number being defective=n(D)/n(C)

p=9/860.

converting this to a percentage gives us, 9/860×100%

=90/86

=45/43

=1.0465%

Therefore rounding this number to the nearest tenth gives us 1.0 % since the hundredth digit is 4 which is less than 5.

so, the probability of choosing a random defective calculator is 1.0%

The Blue line is the translate in the direction of red line by,and therefore has equation y=3(x-4)+5

Answer:

B

Step-by-step explanation:

17<9 + x

group like them

17-9 < x

the sign changes due to the negative

8>x

Answer:

x = 14º 30'   OR  14.5º

Step-by-step explanation:

(x + 14)º = (3x – 15)º

3x -x = 14º +15º

2x = 29º

x = 14º 30'   OR  14.5º