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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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Maggie buys 1 1/2 pounds of walnuts pounds of walnuts 8 ounces 8 ounces of pecans of pecans and 3/4 pounds of almonds how much d
svetlana [45]

Answer:

2\frac{3}{4} pounds

Step-by-step explanation:

Maggie buys 1 1/2 pounds of walnuts, 8 ounces of pecans and 3/4 pounds of almonds.

To find the total weight of nuts that she buys, let us first put all the weights in a single unit, pounds.

She buys 8 ounces of pecans.

1 ounce = 0.0625 pounds

8 ounces = 8 * 0.0625 = 0.5 pounds = 1/2 pounds

Therefore, the total weight of nuts that she buys is:

1\frac{1}{2} + \frac{1}{2} + \frac{3}{4}\\ \\\frac{3}{2} + \frac{1}{2} + \frac{3}{4} = 2\frac{3}{4}

The nuts weight 2\frac{3}{4} pounds in all.

4 0
4 years ago
Calculate had a net income of 8 million dollars in 2010, while a small competing company, Computate, had a net income of 3 milli
Lilit [14]

The question is an illustration of a linear function and an exponential function.

The given parameters are:

<u>Calculate Company</u>

Initial net income: $8 million

Rate: $0.5 million per year

<u>Computate Company</u>

Initial net income: $3 million

Rate: 20% each year

<h3>(a) Standard mathematical model</h3>

The model of calculate company is best represented using a linear function, while the computate is best modeled by an exponential function.

A linear function is represented as:

y = mx + b

Where:

  • m represents rate
  • b represents the initial value

An exponential function is represented as:

y = a(1 + r)^x

Where:

  • r represents rate
  • a represents the initial value

So, the functions are:

y=8 + 0.5x --- calculate company

y =3(1.2)^x --- computate company

See attachment for the graph of both functions

<h3>(b) Compare both functions</h3>

From the graph of both functions, we have the following comparison:

  • The calculate company has a higher y-intercept
  • The computate company follows a more realistic model

<h3>(c) The company to choose</h3>

In (b), we concluded that:

The computate company follows a more realistic model

Hence, it is better to invest in the computate company

<h3>(d) When both companies have the same net income</h3>

From the attached graph, both functions meet at approximately (8, 12)

This means that they have the same net income in 2018

The graphs do not meet again.

This means that, they would never have the same net income again

Read more about functions at:

brainly.com/question/4119613

8 0
2 years ago
Niko spent $23.25 a raffle ticket that cost $.75 each which of the following is the number of raffle tickets nickel bought
miskamm [114]

Answer:

31 raffle tickets

Step-by-step explanation:

23.25 divided by 0.75 = 31

8 0
3 years ago
Read 2 more answers
5b – 4 = 2b + 17<br> What is the value of b in this equation?
Varvara68 [4.7K]
We can solve the above question as
5b-4=2b+17
5b-2b=17+4                                      (taking like terms together)
3b=21
b=21/3
b=7
Hence the value of b is 7
7 0
3 years ago
Read 2 more answers
I don’t get this at all can someone help?
aleksklad [387]

Reasons (In order):

  1. Given
  2. Given
  3. Definition of a midpoint
  4. Reflexive property
  5. SAS
  6. CPCTC
5 0
4 years ago
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