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spin [16.1K]
2 years ago
9

May someone help me out with this question

Mathematics
2 answers:
Romashka [77]2 years ago
6 0
p\%=\dfrac{p}{100}\\\\40\%=\dfrac{40}{100}=0.4\\\\40\%\ of\ B\ is\ 3\\\\0.4B=3\ \ \ |divide\ both\ sides\ by\ 0.4\\\\\boxed{B=7.5}
dedylja [7]2 years ago
3 0
The answer would be 7.5
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One end of a ladder 32 feet long is placed 10 feet from the outer wall of a building that stands on the ground level. How far up
ladessa [460]

Answer:

30 ft

Step-by-step explanation:

This is a classic right triangle problem, where the length of the ladder represents the hypotenuse, where the ladder is lengthwise from the building is the base of the triangle, and what we are looking for is the height of the triangle.  Pythagorean's Theorem will help us find this length.

32^2-10^2=y^2 so

1024 - 100 = y^2 and

y = 30.4 so 30 feet

4 0
2 years ago
Marissa deposited $3,900 into a savings account. How much will Marissa have in her account after 7 years and 6 months at a yearl
REY [17]

Marissa wants to know how much she would make using the simple interest calculation.

She will have $4,432.35

Given data

Principal = $3,900

Time = 7 years 6 months = 7.5 years

Rate = 1.82%

I = A - P = $532.35

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 1.82%/100 = 0.0182 per year.

Solving our equation:

A = 3900(1 + (0.0182 × 7.5)) = 4432.35

A = $4,432.35

The total amount accrued, principal plus interest, from simple interest on a principal of $3,900.00 at a rate of 1.82% per year for 7.5 years is $4,432.35.

Learn more about simple interest here:

brainly.com/question/20690803

3 0
2 years ago
Solve the simultaneous equations
Contact [7]

Answer:

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

Step-by-step explanation:

Given equations are:

3x+4y=30\ \ \ Eqn\ 1\\3x-y=15\ \ \ \ Eqn\ 2

There are three methods to solve simultaneous equations

  1. Elimination
  2. Substitution
  3. Co-efficient method

We will use the elimination method as the coefficients of x in both equations are already same

Subtracting equation 2 from equation 1

3x+4y - (3x-y) = 30-15\\3x+4y-3x+y = 15\\5y = 15\\\frac{5y}{5} = \frac{15}{5}\\y = 3

Putting y = 3 in equation 2

3x-3 = 15\\3x = 15+3\\3x = 18\\\frac{3x}{3} = \frac{18}{3}\\x =  6

Hence,

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

7 0
3 years ago
Please asap<br>mathematics <br>​
Mnenie [13.5K]
<h3>Given:</h3>
  • w= 6 units
  • h= 6 units
  • l= 10 units
<h3>Note that:</h3>
  • w: width
  • h: height
  • l: length
<h3>To find:</h3>
  • The volume of the given triangular prism.
<h3>Solution:</h3>
  • Triangular prism is a 3 sided prism with same area of cross section with 2 triangular bases.

\large\boxed{Formula: V= \frac{wl}{2}×h}

Let's solve!

First, let's multiply width and height.

6×6

= 36

Now, we'll have to divide the answer by 2.

\frac{36}{2}

= 18

Then, multiply the answer by length.

18×10

\large\boxed{V= 180 \: {units}^{3}}

<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>triangular</u><u> </u><u>prism</u><u> </u><u>is</u><u> </u><u>1</u><u>8</u><u>0</u><u> </u><u>cubic</u><u> </u><u>units</u><u>.</u>

3 0
1 year ago
Read 2 more answers
What is the equation of the line that passes through the points (9, 2) and (7, -4)?
aliya0001 [1]

Answer:m=3

Step-by-step explanation:

8 0
3 years ago
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