2 years ago

How do i do this pls help me

Mathematics

1 answer:

Delvig [45]2 years ago

3 0

Answer:

$y = \frac{1}{7} x + 7$

Step-by-step explanation:

x-7y = -49

i) move x to the right-hand side and change its sign

-7y = -49-x

ii) change the signs on both sides of the equation

7y = 49+x

iii) divide both sides of the equation by 7

$\frac{7y}{7} = \frac{49}{7} + \frac{x}{7}$

$y = 7 + \frac{1}{7} x$

iv) use the commutative property to reorder the terms

* commutative property: a+b = b+a

$y = \frac{1}{7} x + 7$

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Suppose you invest $2000 at an annual interest rate of 4.9% compounded continuously. How much will you have in the account after

saul85 [17]

To find this we will first find out how much interest they accrued within 20 years. We'll do that by multiplying all the given factors:

2000 x 0.049 x 20 = 1960
This shows they have made $1,960 in accrued interest. We'll add this sum by the original deposit they made of $2,000.

2000 + 1960 = 3960

In the end of 20 years of accrued interest, the person will have a total of $3,960 in their account.

5 0

3 years ago

At a rate of 4% you paid $144 in interest over to year. What was the original amount of your loan

dem82 [27]

$\bf ~~~~~~ \textit{Simple Interest Earned}
\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\to &\$144\\
P=\textit{original amount deposited}\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
t=years\to &1
\end{cases}
\\\\\\
144=P(0.04)(1)\implies \cfrac{144}{(0.04)(1)}=P\implies 3600=P$