A total of $5000 is invested: part at 7 % and the remainder at 15 %. How much is invested at each rate if

1 answer:

6 0

0.07 (5000-x) + 0.15x= 480
Solve for x
350-0.07x+0.15x=480
0.08x=130
X=1625 invested at 15%
(5000-1625)=3375 invested at 7%

You might be interested in

Solve by completing the square:<br> x^2 + 3x - 9 = 0

tekilochka [14]

Answer:

Step-by-step explanation:

x^2 + 3x - 9 =0

By comparing with the equation ax^2+bx+c = 0,

we get,

a = 1, b=3, c = -9

we know the formula for x is,

x = (-b±√(b^2 - 4ac))/2a

x = (-3±√45)/2

x = (-3±3√5)/2

x = (-3+3√5)/2, (-3-3√5)/2

6 0

3 years ago

Read 2 more answers

0.11 as a fraction and in the simplest form

vovangra [49]

Considering that the last 1 in 0.11 is located in the hundredths place, the simplest from of this fraction is 11/100 because it cannot be reduced.

*If you have any questions, feel free to ask me! I'd be happy to help you anytime!

5 0

3 years ago

Read 2 more answers

Solve by using substitution<br>-7x-2y=-13 and x-2y=11

netineya [11]

$\left \{ {{-7x-2y=-13} \atop {x-2y=11}} \right. \\\\ \left \{ {{-7x-2y=-13} \atop {x=11+2y}} \right.\\\\
Substitute\ second\ equation\ into\ the\ first\ one:\\\\
-7(11+2y)-2y=-13\\
-77-14y-2y=-13\\
-77-16y=-13\ \ \ |Add\ 77\\
-16y= 64\ \ \ |Divide\ by\ -16\\
y=-4\\\\x=11+2y=11+2*(-4)=11-8=3\\\\ \left \{ {{y=-4} \atop {x=3}} \right.$

7 0

4 years ago

The coordinates of the endpoints of and are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which condition proves that ?

natka813 [3]

For two line segments to be parallel, their slopes must be equal.

Therefore slope of AB must be equal to slope of CD

which is, option 3
<span> (y4-y3)/(x4-x3)=(y2-y1)/(x2-x1)</span>

3 0

3 years ago

Read 3 more answers

Jim is trying to improve his speed on the track so he can qualify for the State Championships. As he is running, he goes from 70

kumpel [21]

Answer:

His acceleration is $\frac{1}{15}$ meters per seconds²