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MariettaO [177]
3 years ago
10

An executive invests $27,000, some at 8% and the rest at 7% annual interest. If he receives an annual return of $2,050, how much

is invested at each rate
Mathematics
2 answers:
Ludmilka [50]3 years ago
7 0
Let x be the amount invested at 8%
the remaining amount (27,000 - x) was invested at 7%. After one year 
$x yielded an interest A₁  OR A₁ = x(0.08)
The remained yielded an interest of A₂ = (27000 - x) (8%)
A₁   =   x(0.08)
A₂   =   (27000 - x) (8%)
----       ---------------------------------
A₁+A₂ = x(0.08) + (27000 - x) (8%)

2050 = x(0.08) + (27000 - x) (8%)

2050 = 0.08x - 0.07x +1890
2050 - 1890 = 0.01x

x = 160/0.01 = $16,000 @ 8% and $11,000 @ 7%


Ierofanga [76]3 years ago
5 0
8%X + 7%(27000-X) = 2050
.08X + 1890 + .07X = 2050
.15X = 160
X = $1067.67
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15*-4 = -60

Now we need to split the b term into two pieces that multiply to -60 and add to 4.

-6 and 10 will work.

Now group one part of b with the 15x^2 and the other part with -4.

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Now factor both terms.

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7 0
3 years ago
The answer is A I just need help working it out
nordsb [41]
STU + STR = 180
8x + STR = 180 [ STU = 8x ]
STR = 180 - 8x

STR = SRT [ RS ≈ ST ]

Now, In ΔSRT,
we have, RST = 7x - 54, STR = SRT = 180-8x
Their sum is 180, as it constitutes a triangle.

7x-54 + 2(180-8x) = 180
7x - 54 + 360 - 16x = 180
 306 - 9x = 180
9x = 306 - 180
9x = 306 - 180
x = 126/9
x = 14

So, option A is your answer.

Hope this helps!

5 0
3 years ago
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Step-by-step explanation:

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What is the solution to this equation 10x-15x+5=-45+20
nataly862011 [7]

Answer:

<h2>6</h2>

Step-by-step explanation:

10x - 15x + 5 =  - 45 + 20

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Move constant to RHS and change its sign

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