Michael is opening a savings account for college. The expression 2,300(1.002)12t represents the dollar amount in the account after t years.

Part A
What does the value 2,300 represent in the expression?

Answer:

(3,-1)

Step-by-step explanation:

The given equations are :

x = 3 ..(1)

y+1 = 0 ....(2)

We need to solve the equations graphically. x = 3 means draw a line parallel to y axis.

For y+1=0

y = -1

Draw a line parallel to the negative x axis. The attached figure shows the graph for the given equations. The solution is (3,-1).

Answer:

5.06 years or 60.75 months

Step-by-step explanation:

Compound interest formula:

[tex]AV=PV(1+\frac{i}{n})^{n*t}\\4045=3355(1+\frac{.037}{12})^{12t}\\1.025=(1.003)^{12t}\\log1.025_{1.003}=12t\\60.75=12t\\5.062[/tex]

5.06 years or 60.75 months

It will take Andrew  5 years to accumulate $4045 by investing $3355 in an account that earns 3.7% annually, compounded monthly.

percentage, a relative value indicating hundredth parts of any quantity.

We can use the formula for compound interest to solve this problem:

[tex]A = P(1 + r/n)^(^n^t^)[/tex]

where:

A is the amount of money at the end of the investment period

P is the principal amount (initial investment)

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the time (in years) of the investment period

In this case, we want to solve for t. We know that:

P = $3355

r = 0.037 (3.7% as a decimal)

n = 12 (compounded monthly)

A = $4045

Substituting these values into the formula, we get:

[tex]4045 = $3355(1 + 0.037/12)^(^1^2^t^)[/tex]

ln(1.206) = 12t ln(1 + 0.037/12)

ln(1.206) = 12t ln(1 + 0.0031)

ln(1.206) = 12t ln(1.0031)

0.187=12t 0.0031

0.187=0.0372t

t=5.02

Therefore, it will take Andrew approximately 5 years to accumulate $4045 by investing $3355 in an account that earns 3.7% annually, compounded monthly.

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Answer:

C. a translation of 1 unit right and 2 units up, followed by a dilation by a factor of 3

Step-by-step explanation:

Answer:

3 CDs

Step-by-step explanation:

If we have $65 and buy a $23 DVD, we will have $42 left.

So how many $14 CDs can we buy with $42?

All we have to do is divide 42 into 14, so we know how many groups of $14 we can make with $42.

42 ÷ 14 = 3

Therefore, Michella can purchase 3 CDs.

Answer:

11 oranges in each box

Step-by-step explanation:

99/9=11

Answer: 11 oranges in each box.

Step-by-step explanation:

Division is used to evenly separate totals into groups (total/#of groups= Quotient per group).

In this case, we divide the total, 99 oranges, by the amount of groups we want, which is 9 boxes, in order to find an even amount for each box from the total oranges.

So, 99/9= 11 oranges per box

Answer: 6 liters

Step-by-step explanation:

24 liters

He sells 75%

24 x 0.75 = 18 liters

24 - 18 = 6

He still has 6 liters left

Answer:

10x - 40 = 100, x = 14

Step-by-step explanation:

At a flower shop, there are 10 bouquets with the same amount of flowers in each of them. In total, 40 flowers were purchased. Now, there are 100 flowers left in the shop. How many flowers are in a bouquet?

This situation can be represented by

10x

- 40

= 100

Answer:

12

Step-by-step explanation:

b-4x

Plug in 4 as b and -2 as x

= (4)-4(-2)

Multiply 4 and 2

= 4-(-8)

Two negatives make a positive

= 4+8

= 12

I hope this helps!

Answer:

B

Step-by-step explanation:

equation for volume of a cone = [tex]V=\frac{1}{3}\pi r^2h[/tex]

plug in - [tex]V=\frac{1}{3} \pi (4)^2(7)[/tex]

Answer:

we have

volume of cone =1/3 πr²h=1/3×π×4²×7ft³

so

v=1/3 π(4²)(7)ft³

Answer:

7. 0.50980392

9. 12

10. 50

Given:

A circle of radius r inscribed in a square.

To find:

The expression for the area of the shaded region.

Solution:

Area of a circle is:

[tex]A_1=\pi r^2[/tex]

Where, r is the radius of the circle.

Area of a square is:

[tex]Area=a^2[/tex]

Where, a is the side of the square.

A circle of radius r inscribed in a square. So, diameter of the circle is equal to the side of the square.

[tex]a=2a[/tex]

So, the area of the square is:

[tex]A_2=(2r)^2[/tex]

[tex]A_2=4r^2[/tex]

Now, the area of the shaded region is the difference between the area of the square and the area of the circle.

[tex]A=A_2-A_1[/tex]

[tex]A=4r^2-\pi r^2[/tex]

[tex]A=4r^2-\pi r^2[/tex]

[tex]A=r^2(4-\pi )[/tex]

Therefore, the correct option is (a).

Answer:

12:2

4:24

6:1

Step-by-step explanation:

those 3 are the correct ones

Answer:

0.95, 2.15

Step-by-step explanation:

cookie-x

ice bar-y

7x+2y=10.95 (*3)

4x+3y=10.25 (*2)

21x+6y=32.85

8x+6y=20.5

21x-8x=32.85-20.5=12.35

13x=12.35

x=0.95

2y=10.95-7*0.95=4.3

y=2.15

Answer: 3/4. fraction to decimal calculator to find what's an equivalent decimal for the fractional number 3/4.

0.75 is a decimal and 75/100 or 75% is the percentage for 3/4.

Step-by-step explanation:fraction simplification calculator to find what's a reduced or simplest form for 75/100 at its lowest terms. 3/4 is a simplified fraction for 75/100

Answer:

B. and D.

Step-by-step explanation:

If you folded that shape along the lines o and m, it would match up.

There are two lines of symmetry m and o. Options B and D are correct.

From the given figure we have to determine the axes of symmetries.

A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.

Here,
As of the given figure,
There are 2 axes of symmetry first line m and the other is line o.
Line l and line n are not symmetrical lines because the reflection of one portion will not be superimposed with the other.

Thus, there are two lines of symmetry m and o. Options B and D are correct.

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Answer:

what is the answerrrrrrrrrrrrrrrrr

Step-by-step explanation:

The volume of the cooler is 2772 in³

Volume is the amount of space taken up by an object

The formula for calculating the volume of a rectangular prism is volume = length × width × height.

According to the question

Length= 22in.

breadth= 12 in.

width= 10 1/2  in. or 21/2 in.

So, the volume= 22× 12× (21/2)

                        =2772 in³

Thus the volume of a rectangular prism is 2772 in³

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Answer: 45

Step-by-step explanation:

I think it’s the third one. Hope that helps!

Answer:

the answers are B or C x>4/19

Answer:

1666.70

Step-by-step explanation:  10,000/6=1666.70

Answer:

Multiply the volume of the cone by 3

Step-by-step explanation:

Required

Volume of a cylinder from a cone of the same dimension

The volume of a cone is:

[tex]V_1 = \frac{1}{3}\pi r^2h[/tex]

The volume of a cylinder is:

[tex]V_2 = \pi r^2h[/tex]

Recall that:

[tex]V_1 = \frac{1}{3}\pi r^2h[/tex]

Split:

[tex]V_1 = \frac{1}{3}*[\pi r^2h][/tex]

Substitute: [tex]V_2 = \pi r^2h[/tex]

[tex]V_1 = \frac{1}{3}*V_2[/tex]

Make V2 the subject

[tex]V_2 =3V_1[/tex]

This implies that, we simply multiply the volume of the cone by 3

Step-by-step explanation:

Given,

[tex]9 {x}^{2} + 13x - 15[/tex]

and

[tex]x = 2[/tex]

Substitute x = 2 into expression.

[tex]9 {x}^{2} + 13x - 15 = 9( {2}^{2} ) + 13(2) - 15 \\ = 9(4) + 26 - 15 \\ = 36 + 26 - 15 \\ = 62 - 15 \\ = 47[/tex]

Answer:

9(2)×2+13(2)-15

18×2+26-15

36+11

47 is your answer ☺️☺️☺️

Answer:

infinity

Step-by-step explanation:

Answer:

DO you go to a connexus school? I do and i have this same project im trying to find answers to!

Step-by-step explanation:

For the first box the volume, surface area, and cost of materials are 180 cubic inches, 258 square inches, and $12.9, for the second box 192 cubic inches, 224.4 square inches, and $11.22 for the third box 235.61 cubic inches, 227.76 square inches, and $11.38.

It is defined as a three-dimensional space enclosed by an object or thing.

For the first cereal box:

Volume = L×W×H

Here L = 7.5 in, W = 2 in, and H = 12 in

Volume = 7.5×2×12 = 180 cubic inches

Surface area = 2(L×B+B×H+H×L)

= 2(7.5×2+2×12+12×7.5)

= 2(15+24+90)

= 258 square inches

Cost for this cereal box = 258×0.05 = $12.9

For the second cereal box:

[tex]\rm Volume = \frac{1}{3} bh[/tex]

b is the area and h, is the height of the pyramid.

b = 8×6 = 48 square inches, h = 12 inches

[tex]\rm Volume = \frac{1}{3} \times48\times12[/tex]

Volume = 192 cubic inches

[tex]\rm Surface \ area = b+\frac{1}{2} ps[/tex]

p is the perimeter of the base = 2(8+6) = 28 in

Slant height s = 12.6 in

[tex]\rm Surface \ area = 48+\frac{1}{2} (28)(12.6)[/tex] = 224.4 square inches

Cost of this cereal box = 224.2×0.05 = $11.22

For the third box:

Volume = πr²h

r = 2.5 in and h = 12 in

Volume = π(2.5)²(12) = 235.61 cubic inches

Surface area = 2πr(h+r) = 2π(2.5)(12+2.5) = 227.76 square inches

Cost of this cereal box = 227.76×0.05 = $11.38

Thus, for the first box the volume, surface area, and cost of materials are 180 cubic inches, 258 square inches, and $12.9, for the second box 192 cubic inches, 224.4 square inches, and $11.22 for the third box 235.61 cubic inches, 227.76 square inches, and $11.38.

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Answer:

x=y+1,y=y

Step-by-step explanation:

Solution :

Given : [tex]$T(x)=7-9(x-2)^2-3(x-2)^3$[/tex]

a). f(2) = T(2) = 7

    [tex]$\frac{f""(2)}{2!} =-9$[/tex]  , so f''(2) = [tex]$-18$[/tex]

b).  Yes, since f'(2) = T'(2) [tex]$=$[/tex] 0, [tex]$f$[/tex] does have the critical point at [tex]$x=2.$[/tex]

   Since f''(2) = [tex]$-18$[/tex] < 0, [tex]$f(2)$[/tex] is relative maximum value.

c).  [tex]$f(0)=T(0)=-5$[/tex]

   It is also not possible for determining if [tex]$f$[/tex] has a critical point at x = 0 because [tex]$T(x)$[/tex]   gives exact information only at [tex]$x=2.$[/tex]

d). The Lagrange [tex]$\text{error}$[/tex] bound [tex]$=\frac{6}{4!}|0-2|^4= 4$[/tex]

     [tex]$f(0) \leq T(0)+4 = -1$[/tex]

     Therefore, [tex]$f(0)$[/tex] is negative.

Answer:

x= 28

do i have to explain

Step-by-step explanation:

the point is supposed to be in front of the three

.3

Answer:

the answer is 0.3

Step-by-step explanation:

I hoped this helped