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ArbitrLikvidat [17]
3 years ago
8

The graph shows two lines, A and B.

Mathematics
1 answer:
Papessa [141]3 years ago
8 0
Part A: One solution because the lines intersect one time.
Part B: (3,4) or x=3 and y=4 (depending on how you have to write it)
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A store purchased model railroad sets for 400 and sold them for 444 what percentage is the mark-up
andrew-mc [135]

Answer:

9.91%

Step-by-step explanation:

cost price= 400

selling price=444

profit made= 444-400

= 44

profit percentage= 44/444 ×100

=9.91%

4 0
3 years ago
What is the distance between the y intercept of the function f(x)=3(2)^x and the y intercept of the function g(x) represented by
balandron [24]
8units sorry if is wrong
8 0
3 years ago
GCF of 9x^2y^2 and 5x^2y^3
8090 [49]

Answer:

x^2y^2.

Step-by-step explanation:

5 0
3 years ago
Lisa took out a loan for 5 months and was charged simple interest at an annual rate of 4.8%.
denis-greek [22]

Answer:

<em>Lisa borrowed $8,500</em>

Step-by-step explanation:

<u>Simple Interest </u>

Occurs when the interest is calculated on the original principal of a loan only.

Unlike compound interest where the interest earned in the compounding periods is added to the old principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=Prt

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Lisa took out a loan for t=5 months and was charged simple interest at an annual rate of r=4.8% = 0.048. She paid interest for I=$170.

We need to convert the time to years (there are 12 months per year):

t = 5 /12 years.

The formula must be solved for P:

\displaystyle P=\frac{I}{rt}

Substituting:

\displaystyle P=\frac{170}{0.048*5/12}

\displaystyle P=\frac{170}{0.02}=8,500

Lisa borrowed $8,500

8 0
3 years ago
The mold for a cone has a diameter of 4 inches in 6 inches tall what is the volume of the cone mold to the nearest 10th
anygoal [31]

Hey there!

The formula for the volume of a cone is V=\pi r^{2} \frac{h}{3}.

In this cone, we have the given information:

  • Its diameter is 4 inches
  • Its height is 6 inches

The information we need for this formula is the radius and height.

We already have the height, but not the radius.

Fortunately, we can easily get it by dividing the diameter by 2.

4 \div 2 = 2

So, the radius is 2.

Let 3.14 be \pi.

Plug in each value into the equation. V = 3.14 \times 2^{2} \times \frac{6}{3}

Simplify the exponent and fraction.

V = 3.14 \times 4 \times 2

Multiply the three numbers together.

V = 25.12

But wait! We have to round this to the nearest tenth.

When rounding, we look at the place value one less than the one we are rounding to. Since we are rounding to the nearest tenth, we look at the hundredths place, which is the digit 2.

Since 2 is less than 5, we round down to 25.1.

This is the volume of a cube, and it is measured in inches, so the unit we will use is in^{3}.

So, your <u>final answer</u> is 25.1 in^{3}!

Hope this helps!

8 0
3 years ago
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