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Sedaia [141]
3 years ago
9

Lydia has money in two savings accounts. One rate is 7% and the other is 13%. If she has $300 more in the 13% account and the to

tal interest is $252, how much is invested in each savings account?
Mathematics
1 answer:
11111nata11111 [884]3 years ago
4 0

Answer:

  • 7%: $1065
  • 13%: $1365

Step-by-step explanation:

If x represents the amount invested at 7%, then the amount invested at 13% is x+300. Lydia's total interest is ...

  0.07x +0.13(x +300) = 252

  0.20x = 213 . . . . . subtract 39

  x = 213/0.20 = 1065

Lydia has $1065 invested at 7% and $1365 invested at 13%.

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3 0
3 years ago
What would area B be and why?
Annette [7]

Answer:

B= y+2w

Step-by-step explanation:

We can see that A= y+3w, so because B is missing one of the w's, the area must be y+2w.

3 0
3 years ago
What is the period, in seconds, of a simple pendulum of length 2 meters? Use the gravitational constant g = 9.8 m/s^2 and round
kirill [66]

Answer:

The period, in seconds to two decimal places is, 2.84 sec

Step-by-step explanation:

Using formula:

T = 2 \pi \sqrt{\frac{l}{g}}             ......[1]

where

T represents the Time period in second

l represents the length of the pendulum/

As per the statement:

Use the gravitational constant g = 9.8 m/s^2 , length of the simple pendulum(l) = 2 meters and \pi = 3.14

Substitute the given values we have;

T = 2\cdot 3.14 \cdot \sqrt{\frac{2}{9.8}}

⇒T = 6.28 \cdot \sqrt{\frac{1}{4.9}}=6.28 \cdot \frac{1}{2.21359436212}= \frac{6.28}{2.21359436212} = 2.83701481512

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8 0
3 years ago
Solve the problem.
zmey [24]

Answer:

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Step-by-step explanation:

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\frac{Vf - Vi}{Vi} *100

where Vf is final value and Vi is initial value.

From the question we know that Vi is equal to 25 and Vf is equal to 31. Replacing this values on the equation we get:

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That's mean that at second attempt the percent of increase is 24%, taking into account that at the first attempt a student get 25 questions correct.

6 0
3 years ago
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andrew-mc [135]

Answer:

x = 20

Step-by-step explanation:

x + 29 = 49

- 29       - 29

x=20

5 0
2 years ago
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