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andrey2020 [161]
3 years ago
6

With an interest rate of 3.25% over 4 years, how much money was originally deposited if

Mathematics
2 answers:
padilas [110]3 years ago
6 0
Interest = Principle(Rate)(Time)
$84.50 = P(0.0325)(4)
$84.50 = P(0.13)
$84.50/0.13 = P
P = 650

$650 was originally deposited.
vesna_86 [32]3 years ago
6 0

Answer: Amount of money originally deposited (P) = $650.0

Step-by-step explanation:

I = P x R x T/100

I = interest, P = Principal, R = Rate and T = Time.

I = $84.50, P = ?, R = 3.25%, T = 4

Making P the subject of the formul,a

P = I x 100/R x T

P = 84.50 x 100/3.25 x 4

P = 8450/13

P = $650.00

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The value of the solid's surface area is equal to the value of the solid's volume. find the value of x. 5*6*x
velikii [3]
<h3>Given</h3>

a cuboid with length, width, height dimensions 5, 6, x

<h3>Find</h3>

the value of x that makes the numerical value of the total surface area equal to the numerical value of the volume

<h3>Solution</h3>

The volume is given by

... V = L·W·H = 5·6·x = 30x

The area is given by

... A = 2(L·W + H(L+W)) = 2(5·6 +x(5+6)) = 2(30 +11x) = 60 +22x

When these are equal, we have

... 30x = 60 +22x

... 8x = 60

... x = 7.5

The desired value of x is 7.5.

7 0
3 years ago
-2 (z + 11) = 6<br><br> Please help. You have to use distributive property.
Mamont248 [21]

Answer:

-14

Step-by-step explanation:

-2(z+11)=6

-2z-22=6

-2z=28

z=-14

4 0
2 years ago
What are the factors in the expression 4x(3x^2+5y)?
Bess [88]

4x(3x²+5y) expand by distributing terms

4x*3x²+4x*5y take out the constants

(4*3)xx²+4x*5y simplify 4*3 to 12

12xx²+4x*5y use product rule=xᵃxᵇ=xᵃ+ᵇ, and change the two variables (the x's) into ones, because if there is just one variable with no number by it, then it is a one.

12x¹⁺²+4x*5y and simplify 1+2 to 3.

12x³+4x*5y finally simplify 4x*5y to 20xy

12x³+20xy

Hope this helps, now you know the answer and how to do it. Stay healthy and safe and HAVE A BLESSED AND WONDERFUL DAY! :-)

- Cutiepatutie ☺❀❤

7 0
3 years ago
The parallel line of the AC line intersects the sides AB and BC of the triangle ABC, respectively, at the points M and N, AM: MB
amid [387]

Answer:

it equals 125

Step-by-step explanation:

8 0
3 years ago
Sally finds a coin with a radius of 1.5 centimeters and a thickness of 0.25 cm. It has a measured mass of 18.54 grams. How can S
mote1985 [20]

Answer:

Silver

Step-by-step explanation:

Find the volume of the coin

<u>Volume of a cylinder</u>

\textsf{V}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

Given:

  • r = 1.5 cm
  • h = 0.25 cm

Substituting given values into the formula to find the volume:

\sf \implies V=\pi (1.5)^2(0.25)

\sf \implies V=0.5625 \pi \:cm^3

Find the density of the coin given it has a measured mass of 18.54 g

<u>Density formula</u>

\sf \rho=\dfrac{m}{V}

where:

  • \rho = density
  • m = mass
  • V = volume

Given:

  • m = 18.54 g
  • \sf V=0.5625 \pi \:cm^3

Substituting given values into the density formula:

\implies \sf \rho=\dfrac{18.54}{0.5625 \pi}

\implies \sf \rho=10.49149385\:g\:cm^{-3}

Given:

  • \textsf{Density of Lead}=\sf 11.3\:g\:cm^{-3}
  • \textsf{Density of Silver}=\sf 10.49\:g\:cm^{-3}

Therefore, as \sf \rho=10.49\:g\:cm^{-3} the coin is made from silver.

4 0
2 years ago
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