Ask question

Ask question

All categories

3 years ago

7

A man invests a certain amount of money at 2% interest and $800 more than that amount in another account at 4% interest. At the

end of one year he earned $112 in interest. How much money was invested in each account? Which of the following equations could be used to solve the problem? 0.02x + 0.04(800) = 112 0.02x + 0.04(x + 800) = 112 0.04x + 0.02(x + 800) = 112

2 answers:

Alex777 [14]3 years ago

6 0

112 dallors interest beca0.02x + 0.04(800) = 112 0.02x + 0.04(x + 800) = 112 0.04x + 0.02(x + 800) = 112 use

GaryK [48]3 years ago

5 0

Answer:

0.02x + 0.04(800) = 112

Step-by-step explanation:

Let the unknown amount be x

The amount is invested at 2 % interest so the intrest will be $ 0.02x

However, another amount, this time $ 800 is invested at 4 % interest. This gives:

0.04 (800)

The total amount at the end of the year will be = $ 112

Therefore, the sum of the two interests will be $\\$ 0.02x+ 0.04($800) = $ 112.00$

You might be interested in

2 (x + 8) > 18 + x -4 need this really soon

alukav5142 [94]

$\text {Hey! To solve this problem you must...}$

$\text {Simplify the Equation:}$

$\text {Multiply (x+8) by 2.}$

$\text {x becomes 2x. 8 becomes 16}$

$2x+16>x+14 \text { will be your answer once you simplify it.}$

$\text {The Next Step is to Subtract x:}$

$\text {Q: Why Subtract x instead of adding x?}$

$\text {A: We need x to cancel out. So x-x will cancel out each other.}$

$\text {Note: In equations like these x-x is another way of saying 1-1.}$

$2x+16-x>x+14-x\\x+16>14 \text { would be your answer once you subtract x.}$

$\text {The Final Step is to Subtract 16.}$

$\text {Note: Subtracting 16 will cancel out 16-16 and just leave x by itself.}$ $\text {That's what we are working towards.}$

$x+16-16>14-16\\x>-2 \text { would be your final answer.}$

$\text {Best of Luck!}$

$\text {-LimitedX}$

6 0

3 years ago

Read 2 more answers

Please help me out please

SOVA2 [1]

Answer:

16.6 in

Step-by-step explanation:

The volume (V) of a pyramid is

V = $\frac{1}{3}$ area of base × h

where h is the perpendicular height and area of base = 14² = 196

here V = 980, so

$\frac{1}{3}$ × 196h = 980 ( multiply both sides by 3 )

196h = 2940 ( divide both sides by 196 )

h = 15

Consider the right triangle formed by the height h from the vertex to the midpoint of the base and the slant height (s) ← the hypotenuse

Using Pythagoras' identity in the right triangle

s² = 15² + 7² = 225 + 49 = 274 ( take the square root of both sides )

s = $\sqrt{274}$ ≈ 16.6

4 0

3 years ago

Read 2 more answers

Which gestalt principle suggests that the human mind groups similar elements within an artwork where they build onto a larger co

zaharov [31]

The Gestalt principle of proximity states that objects and shapes form groups if they are close to one another. The shapes, sizes, and objects do not matter in this case even when there are visible differences. The law shows that smaller elements come together in a composition.

3 0

3 years ago

Which of the following is not a possible r-value?<br> A.0.3 <br> B.-0.3 <br> C.-1.6 <br> D.0.6

sveta [45]

|r| ≤ 1
selection C cannot be a value of r.

8 0

3 years ago

Read 2 more answers

Find inverse of f(x)=x^3-9<br>Not sure of my answer!

Katyanochek1 [597]

as you may already know, to get the inverse of any expression, we start off by doing a quick switcheroo on the variables, and then solve for "y".

$\bf \stackrel{f(x)}{y}=x^3-9\implies \stackrel{\textit{quick switcheroo}}{\underline{x}=\underline{y}^3-9}\implies x+9=y^3\implies \sqrt[3]{x+9}=\stackrel{f^{-1}(x)}{y}$

7 0

3 years ago