Grace cut 3 pieces of ribbon; each piece was 25 of a foot long. How many feet of ribbon does she have in all? Express your answer as a mixed number (the sum of a whole number and the remaining fractional units). Draw a number line to represent the problem.

Answer:

C.) $1,625

Step-by-step explanation:

Going by the numbers on the graph, you can immediately tell $1,350 and $1,475 are way too low, so cancel those out and you get $1,625 and $1,800

From here, you can see that in 5 years it hasn't gone up by far, so it won't be 1,800$ by 10 years end, making the answer clear

You can just double 280 and get 560, which the closest answer is 1,625

It's really just a high-low estimate question, 2 answers are too high or low, one is close but not really, and one is just right- or inbetween

$1,625

The amount $1625 is closest to the value of the investment 10 years after the initial investment option third is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]

where a is a constant and a>1

Let's suppose the exponential function that model the problem is:

 [tex]\rm y = ae^k^x[/tex]

Plug x = 1 and y = 1050

[tex]\rm 1050 = ae^k[/tex] ...(1)

Plug x = 2 and y = 1103

[tex]\rm 1103 = ae^2^k[/tex]  ...(2)

Divide equation (2) with (1)

[tex]\rm e^k = 1.0504[/tex]

Taking ln to get the value of k

k = 0.0491

a = 999.69

The exponential function:

[tex]\rm y = (999.6902)e^{0.0491}^x[/tex]

Plug x = 10 years in the above function:

y = $1633.44

Which is close to $1625

Thus, the amount $1625 is closest to the value of the investment 10 years after the initial investment option third is correct.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ2

Answer:

12 square units

Step-by-step explanation:

Hope it helps

Answer:

34 sq cm

Step-by-step explanation:

4x4 = 16

9x2 = 18

16+18= 34

Answer:72.25

Step-by-step explanation:

Answer:

57.4

Step-by-step explanation:

Answer:

b= 12.83

c= 7.17

Variable "c" is independent because it does not change. Jim receives $7.17 back.

Answer:

hey how do u know if they're tracking u?

Step-by-step explanation:

Answer:

42√3

Step-by-step explanation:

4√27 = 4√(9)(3) = 12√3

6√75 = 6√(25)(3) = 30√3

12√3 + 30√3 = 42√3

Answer:

B

Step-by-step explanation:

The only diagram representing a function is B.

All the others fail rhe vertical line test. Each of the x values should have one y value assigned.

Answer:

Cost of one carpet tile = (Total cost-3*tin of paint cost)/24

                                      =(100.20-3*13.16)/24=2.53

Hope this helps <3

Answer: £2.53

13.16 x 3 = 39.48

100.20 / 39.48 = 2.53

Answer:

82.447957600811

Step-by-step explanation:

Answer:

There's not enough information...

Answer: x=0 because there is no solution that's what I got

Step-by-step explanation:

Answer:

3.since two base side are equal

4.sum of interior angle of the triangle is 180

9.base angle of isosceles triangle

16.the inscribed angle from the diameter is 90°

21.being CAE=90°

Answer:

6

Step-by-step explanation:

4 * x + 12= 36

          -12  -12

4x = 24

x= 6

Answer: 6

Step-by-step explanation:

The equation will look like this

n(4)+12=36

n=6

6(4)+12

24+12

36

Answer:

multiplication

Step-by-step explanation:

Answer:

y= x + 1/4

Step-by-step explanation:

did the math and that should be your answer

Step-by-step explanation:

Answer:

We have the value as;

8x/5

Step-by-step explanation:

Here, we want to get the breakdown of the given expression

We have (x^2 - 9) as (x-3)(x + 3)

So we have;

2x/(x + 3) * (x-3)(x+3)/5 * 4/(x-3)

= 2x * 4/5= 8x/5

Answer:

It's 38.1

Step-by-step explanation:

I'm not the best at explaining these type of things but I hope this helps you out

Answer:

same question

Step-by-step explanation:

Answer:

C. [tex] 302 \: {cm}^{2} [/tex]

Step-by-step explanation:

[tex]Area \: of \: sector = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{135 \degree}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{135 }{360 } \times 3.14 \times {(16)}^{2} \\ \\ = \frac{108,518.4 }{360 } \\ \\ = 301.44 \\ \\Area \: of \: sector \approx \: 302 \: {cm}^{2} [/tex]

Answer:

5.56 m

Step-by-step explanation:

Circumference = 2πr

r is the radius, however the diameter is given. The radius is half the diameter. So the radius is:

1.8 ÷ 2 = 0.9

Circumference = 2 × π × 0.9

= 5.56 m ( in 3 significant figures )

Answer: 2/7

Step-by-step explanation:

There are 7 letters in January, and 2 "a"s in order to find the probability, simply take 2/7. You can either leave it in the fraction form, or use the calculator, showing you have a 0.2857% chance of picking an "a"

2/7

there are 7 letters in jAnuAry and as you can see there are 2 A's so there is a 2/7 chance which is higher of a chance than the rest of the letters which are 1/7 each so it is most likely you would draw A although I can't fully say that because there is a 5/7 chance of drawing the other letters. Another way to say it is there is a 0.28571428571% chance of drawing A but there is a 0.71428571428% chance of drawing any other letter.

                Hope this helps :3

                              Have a good day!

Answer:

35-10/3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

you need to divide by 2. And you need to simplify a fraction.

Answer:

y - 2x = 3

Step-by-step explanation:

Use the point-slope formula y - k = m(x - h), with h = 0, k = 3 and m = 2:

y - 3 = 2(x - 0), or

y - 3 = 2x, or

y - 2x = 3

Note that the given point, (0, 3), is the y-intercept of this line, and so we immediately know b in y = mx + b:  it is 3.