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3 years ago

Ill give the crown things

Mathematics

1 answer:

-BARSIC- [3]3 years ago

6 0

Answer:

Step-by-step explanation:

45% = $\frac{45}{100}$

No. of T-shirts size medium = $\frac{45}{100}$ × 80

= 36

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√₂

snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

where:

I = interest earned.
P = principal invested.
r = interest rate (in decimal form).
t = time (in years).

Given:

Total P = $7000
P₁ = principal invested at 5%
P₂ = principal invested at 8%
Total interest = $500
r₁ = 5% = 0.05
r₂ = 8% = 0.08
t = 1 year

Create two equations from the given information:

$\textsf{Equation 1}: \quad \sf P_1+P_2=7000$

$\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500$

Rewrite Equation 1 to make P₁ the subject:

$\implies \sf P_1=7000-P_2$

Substitute this into Equation 2 and solve for P₂:

$\implies \sf 0.05(7000-P_2)+0.08P_2=500$

$\implies \sf 350-0.05P_2+0.08P_2=500$

$\implies \sf 0.03P_2=150$

$\implies \sf P_2=\dfrac{150}{0.03}$

$\implies \sf P_2=5000$

Substitute the found value of P₂ into Equation 1 and solve for P₁:

$\implies \sf P_1+5000=7000$

$\implies \sf P_1=7000-5000$

$\implies \sf P_1 = 2000$

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

brainly.com/question/27743947

brainly.com/question/28350785

5 0

1 year ago

396 divided by 88 with work shown

RSB [31]

The answer is 4.5, I hope this helps.

6 0

3 years ago

PLS HURRY THIS IS REALLY HARD!(FOR ME)

babunello [35]

Answer:

She needs about 398 more dollars

Step-by-step explanation: The price of the whiteboard is $989. Add the money from what she collected and the fundraising. 485+106 then you take that and subtract it from 989.

Hope this helped!

8 0

3 years ago

Find the approximate side length of a square game board with an<br> area of 184 in2

andrey2020 [161]

The approximate side length of a square game board with an

area of 184 in^2 is 14 inches

<h3>Area of a square</h3>

The formula for calculating the area of a square is expressed as;

A = l^2

where

l is the side length of a square

Given the following parameters

A = 184 square inches

Substitute

184 l^2

l = √184

l = 13.56

Hence the approximate side length of a square game board with an

area of 184 in^2 is 14 inches

Learn more on area of a square here: brainly.com/question/25092270

#SPJ1

4 0

2 years ago

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui

Sedbober [7]

Answer:

0.675 m/s

Step-by-step explanation:

Let height of shadow= y,CD=x

Height of man=2 m

Speed of man= $\frac{dx}{dt}=1. 8 m/s$

$\triangle ABD\sim\triangle ECD$

Therefore, $\frac{AB}{EC}=\frac{BD}{CD}$

$\frac{y}{2}=\frac{12}{x}$

$xy=24$

Differentiate w.r.t t

$x\frac{dy}{dt}+y\frac{dx}{dt}=0$

$x\frac{dy}{dt}=-y\frac{dx}{dt}$

$\frac{dy}{dt}=-\frac{y}{x}\frac{dx}{dt}$

When the man is 4 m from the building

Then, we have x=12-4=8 m

$\frac{dx}{dt}=1.8 m/s$

Substitute the values in above equation then, we get

$8y=24$

$y=\frac{24}{8}=3$

Substitute the values then we get

$\frac{dy}{dt}=-\frac{3}{8}\times 1.8=-0.675 m/s$

Hence, the length of his shadow on the building decreasing at the rate 0.675 m/s.

8 0

3 years ago