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3 years ago

24=3r divided by 4. what is the value of r?

Mathematics

2 answers:

Gekata [30.6K]3 years ago

6 0

R =32

Solve for r

by simplifying both sides of the equation, then isolating the variable.

Alisiya [41]3 years ago

3 0

Answer:

Step-by-step explanation:

Multiply both sides by 4

24 · 4 = 3r · 4

96 = 3r

Divide both sides by 3

96 ÷ 3 = 36 = 3r ÷ 3

32 = r

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Find the value of annuity if the periodic deposit is $400 at 4% compounded monthly for 18 years

vlada-n [284]

Answer:

~820.8$

Step-by-step explanation:

The total money (M) after 18 years could be calculated by:

M = principal x (1 + rate)^time

with

principal = 400$

rate = 4% compounded monthly = 0.04/12

time = 18 years = 18 x 12 = 216 months (because of compounded monthly rate)

=> M = 400 x (1 + 0.04/12)^216 = ~820.8$

6 0

3 years ago

translate the sentence into an equation and solve it. If 4 times a number is decreased by 5,the result is 19.find the number. th

eduard

4x-5=19
+5 +5
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4 0

3 years ago

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Write the equation of a polynomial of degree 3, with zeros 1, 2 and -1 where f(0)=2

drek231 [11]

<u>Answer:</u>

The equation of a polynomial of degree 3, with zeros 1, 2 and -1 is $x^{3}-2 x^{2}-x+2=0$

<u>Solution:</u>

Given, the polynomial has degree 3 and roots as 1, 2, and -1. And f(0) = 2.

We have to find the equation of the above polynomial.

We know that, general equation of 3rd degree polynomial is

$F(x)=x^{3}-(a+b+c) x^{2}+(a b+b c+a c) x-a b c=0$

where a, b, c are roots of the polynomial.

Here in our problem, a = 1, b = 2, c = -1.

Substitute the above values in f(x)

$F(x)=x^{3}-(1+2+(-1)) x^{2}+(1 \times 2+2(-1)+1(-1)) x-1 \times 2 \times(-1)=0$

$\begin{array}{l}{\rightarrow x^{3}-(3-1) x^{2}+(2-2-1) x-(-2)=0} \\ {\rightarrow x^{3}-(2) x^{2}+(-1) x-(-2)=0} \\ {\rightarrow x^{3}-2 x^{2}-x+2=0}\end{array}$

So, the equation is $x^{3}-2 x^{2}-x+2=0$

Let us put x = 0 in f(x) to check whether our answer is correct or not.

$\mathrm{F}(0) \rightarrow 0^{3}-2(0)^{2}-0+2=2$

Hence, the equation of the polynomial is $x^{3}-2 x^{2}-x+2=0$

3 0

3 years ago

Can somebody plz help me

BARSIC [14]

they have gathered 26 kilograms so far

Because they already had 2 kilograms before the new recycling plan ,and the new plan was to gather 1 kilogram each week and its been 24 weeks

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3 years ago

The Breaker's Manufacturing Company makes 80% of a particular sensor, the Cartin Company makes 15% of them, and the Flutes Compa

Tresset [83]

The answer is C) 0.06

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3 years ago

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