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Sloan [31]
3 years ago
11

5(5 + x) = 11(9 +x) Answer as a fraction.

Mathematics
1 answer:
Elena L [17]3 years ago
3 0

5(5 + x) = 11(9 + x)

25 + 5x = 99 + 11x

Subtract 5x from both sides and 99 from both sides to get variables on one side and constants on the other.

25 - 99 = 11x - 5x

-74 = 6x

Divide by 6 on both sides to isolate the variable.

-74/6 = x or -12 and 1/3 = x

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A trust fund worth $25,000 is invested in two different portfolios, this year, one portfolio is expected to earn 5.25% interest
OLEGan [10]

Answer:

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Let

x ------> the amount of money that should be invested at the rate of 5.25%

25,000-x -----> the amount money that should be invested at the rate of 4%

in this problem we have

t=1\ year\\ P_1=\$x\\P_2=\$(25,000-x)\\r_1=0.0525\\r_2=0.04\\I=\$1,150

substitute in the formula above

I=P_1(r_1t)+P_2(r_2t)

1,150=x(0.0525*1)+(25,000-x)(0.04*1)

Solve for x

1,150=0.0525x+1,000-0.04x

0.0525x-0.04x=1,150-1,000

0.0125x=150

x=\$12,000

|$25,000-x=\$13,000

therefore

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

6 0
3 years ago
Read 2 more answers
I need help with this i cant get it whats 7|x|=42 is it -6 or just 6
alexdok [17]
7x =42
x=42÷7=6
not -6
8 0
3 years ago
The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h. A=h ( a+b ) 2 Solve for b.
Lelu [443]
I believe the right equation for determining the area of a trapezoid is as below,
     A = h(a + b)/2

To determine the expression for b which is the length of one of its bases, we multiply the equation by 2.
    
    2A = h(a + b)

Then, divide both sides of the equation by h,

    2A/h = a + b

Then, subtract a from both sides of the equation,
    2A/h - a = b

Lastly, interchange the sides of the equation to reveal the answer.
<em>     </em>
<em>   b = 2A/h - a </em>
5 0
3 years ago
Read 2 more answers
If two or more polygons are congruent, which statement must be true about the polygons? Read all of the choices before deciding.
Lisa [10]
Pairs of corresponding angles have the same measure.
3 0
3 years ago
9. Todd makes $9.25 per hour plus a $50 bonus. Todd made $235 this week.
Daniel [21]

Answer:

20 hours

Step-by-step explanation:

use this linear equation

y = 9.25x + 50

plug in 235 for y and solve for x

235 = 9.25x + 50

185 = 9.25x

20 = x

so he worked for 20 hours

hope this helped <3

8 0
3 years ago
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