Four less than the product of ten and a number is eleven. is

Mathematics

1 answer:

nikitadnepr [17]2 years ago

3 0

Answer:

If written in algebraic form it is, 10x - 4 = 11

Step-by-step explanation:

Four less ( minus 4 ) than the product of ten and a number ( 10 times x ) is eleven ( equal to 11 ).

Hopefully this helps!

Brainliest please?

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How much did you invest if you earned $131.60 in interest at a rate of 4% for seven years?

Ket [755]

The amount invested is $ 470

<h3><u>Solution:</u></h3>

Given that , we have earned $131.60 as simple interest for an amount deposit at the rate of 4% for seven years.

We have to find the amount invested. That is, we need to find the principal sum

Let us use the simple interest formula

<em><u>The simple interest is given as:</u></em>

$\text { Simple interest }=\frac{p r i n c i p a l \times \text {rate of interest } \times \text {number of years}}{100}$

Here, simple interest = $ 131.60

Rate of interest = 4 %

Number of years = 7

principal = ?

Substituting the values in formula, we get

$\begin{array}{l}{131.6=\frac{\text { principal } \times 4 \times 7}{100}} \\\\ {131.6 \times 100=\text { principal } \times 4 \times 7} \\\\ {13160=\text {principal } \times 28} \\\\ {\text {Principal }=470}\end{array}$

Thus the amount invested is $ 470

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2 years ago

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user100 [1]

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7 0

2 years ago

Given that f(x)= x2+3 and g(x)= x+4/3 solve for (f(g(x)) when x =2

Savatey [412]

$\bf \begin{cases}
f(x)=x^2+3\\\\
g(x)=x+\cfrac{4}{3}
\end{cases}
\\\\\\
\boxed{x=2}\qquad g(2)=(2)+\cfrac{4}{3}\implies \boxed{g(2)=\cfrac{10}{3}}
\\\\\\
f(~~g(x)~~)=[g(x)]^2+3\implies f(~~g(2)~~)=[g(2)]^2+3
\\\\\\
f(~~g(2)~~)=\left[ \boxed{\frac{10}{3}} \right]^2+3\implies f(~~g(2)~~)=\cfrac{10^2}{3^2}+3
\\\\\\
f(~~g(2)~~)=\cfrac{100}{9}+3\implies f(~~g(2)~~)=\cfrac{100+27}{9}
\\\\\\
f(~~g(2)~~)=\cfrac{127}{9}$