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anastassius [24]
2 years ago
6

A 5000 principal is invested in two accounts, one earning 1% interest and another earning 6% interest. If the total interest for

the year is $170, how much is invested in each account
Mathematics
1 answer:
SOVA2 [1]2 years ago
4 0

Answer:

2600 into the account earning 1% interest

2400 into the account earning 6% interest

Step-by-step explanation:

let x= account earning 1% interest

y= account earning 6% interest

we can write

x+y=5000   (equation 1)

.01x+.06y=170   (equation 2)

mulitply equation 1 by .01

.01x+.01y=50

subtract this from equation 2

(.01x+.06y)-(.01x+.01y)= 170-50

.05y= 120

y= 2400

Plug in y= 2400 into equation 1

x+2400=5000

x=2600

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Answer:

School X has 8 points and School Y has 2 points

Step-by-step explanation:

From first sentence

X - 6 = Y

From second sentence

X = 4Y

Hence substitute equation 1 into equation 2

4Y - 6 = Y

Y = 2

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Answer:

(f - g)(2) = 11

Step-by-step explanation:

f(x) = 3² + 1

g(x) = 1 - x

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Stephen evaluated (6.34 times 10 Superscript negative 7 Baseline) (4.5 times 10 Superscript 3 Baseline). His work is shown below
Maksim231197 [3]

Answer:

The step 4 and 5 describe the errors Stephen made.

Step-by-step explanation:

Given : Stephen evaluated (6.34\times 10^{-7})(4.5\times 10^3).  His work is shown below.

To find : Which two statements describe the errors Stephen made?

Solution :

Step 1 - (6.34\times 10^{-7})(4.5\times 10^3)

Step 2 - (6.34\times 4.5)(10^{-7}\times 10^3)

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Step 4 - 28.53\times 10^{4}

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Step 5 - 28.53\times 10^{3}

Error is the step as there is 4 in place of 3.

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