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torisob [31]
2 years ago
7

Math help questions ​

Mathematics
2 answers:
azamat2 years ago
6 0

Answer:

25 years

Step-by-step explanation:

total = before × percent ( in decimal ) × time

1400 = 800 × 0.07 × t

1400 = 56 × t

1400 ÷ 56 = 25

t = 25

<em>Hope this was helpful!</em>

Evgen [1.6K]2 years ago
4 0

After 1 year, the initial investment increases by 7%, i.e. multiplied by 1.07. So after 1 year the investment has a value of $800 × 1.07 = $856.

After another year, that amount increases again by 7% to $856 × 1.07 = $915.92.

And so on. After t years, the investment would have a value of \$800 \times 1.07^t.

We want the find the number of years n such that

\$856 \times 1.07^n = \$1400

Solve for n :

856 \times 1.07 ^n = 1400

1.07^n = \dfrac74

\log_{1.07}\left(1.07^n\right) = \log_{1.07}\left(\dfrac74\right)

n \log_{1.07}(1.07) = \log_{1.07} \left(\dfrac74\right)

n = \log_{1.07} \left(\dfrac74\right) = \dfrac{\ln\left(\frac74\right)}{\ln(1.04)} \approx \boxed{8.3}

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Triangle STV has vertices S (-3, -2) , T (-4, 3) and V (-2, 3). If (x, y) arrow (x+2, y-3), what are the vertices of its image?
jeka94

Answer:

  see below

Step-by-step explanation:

The mapping tells you how to find the vertices of the image:

  (x, y) ⇒ (x +2, y -3)

  S(-3,-2) ⇒ S'(-3 +2, -2 -3) = S'(-1, -5) . . . . . matches choice D

  T(-4, 3) ⇒ T'(-4 +2, 3 -3) = T'(-2, 0)

  V(-2, 3) ⇒ V'(-2 +2, 3 -3) = V'(0, 0)

8 0
3 years ago
The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number? x = –1 and x =
andrey2020 [161]

we have

f(x)=x^{2}-2x-3

Find the roots

Equate the function to zero

x^{2}-2x-3=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

x^{2}-2x=3

Complete the square. Remember to balance the equation by adding the same constants to each side.

x^{2}-2x+1=3+1

x^{2}-2x+1=4

Rewrite as perfect squares

(x-1)^{2}=4

Square root both sides

(x-1)=(+/-)2

x=1(+/-)2

x=1+2=3

x=1-2=-1

therefore

<u>the answer is</u>

x=3

5 0
3 years ago
Read 2 more answers
Tickets to the fair cost $8 for children and $12 for adults. On Sunday, 198 people enter the fair gates, and they collected $1,9
Lady_Fox [76]

28, because when you divide you get about 28. good luck!

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3 years ago
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Each polygon pair is similar. Find the missing side length
ohaa [14]

I'll do problem 1 to get you started.

The vertical sides are 3 and x for the left and right figures.

The horizontal sides are 15 and 60 for the left and right figures.

The corresponding sides form fractions which are equal (due to the nature of the similar polygons)

3/x = 15/60

3*60 = x*15 ... cross multiply

180 = 15x

15x = 180

x = 180/15 .... divide both sides by 15

x = 12

----------

Another way you can see this is note how the jump from 15 to 60 is "times 4", so the jump from 3 to x must also be "times 4" to keep the same proportion

3 ---> x = 3*4 = 12

Or you could set up the proportion

60/15 = x/3

4 = x/3

x/3 = 4

x = 3*4

x = 12

-----------

<h3>Final Answer: 12</h3>
3 0
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Which is a unit rate?
yulyashka [42]

Answer:

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Step-by-step explanation:

First of all, let's define a unit rate. A unit rate is a ratio of the amount of one measurement to one unit of another measurement term. Unit rates can be expressed as fractions.

Now, here is something easier for you to remember: <u>the second unit always have to be something with the quantity of 1</u>.

In this case, "3 cookies/bag" shows how there are three cookies per, or in each bag--which means 1 bag. The second unit, which is bag, has the quantity of one.

6 0
3 years ago
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