Paul has $20,000 to invest. His intent is to earn 10.5% interest on his investment. He can invest part of his money at 7% interest and part at 12% interest. How much does Paul need to invest in each option to make 10.5% interest on his investment?Paul should invest $
and $
to earn 10.5% on his investments.

Answers

Answer 1

Answer: x=7%
y=12%
x+y=20000
0.07x+0.12y=20000*0.19=3800

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What is the measure of the smaller angle between the hands of a clock at 8:00

Answers

Look at the circle divided into 12 parts that represents a clock

Let's take each part as x°

we know that 12x°=360

x°=360/12

x°=30°

Now, how many parts are there between the hands of a clock at 8:00?

4 parts, which means

4x°

Replace x°

4*(30°)=120°

The measure of the smaller angle between the hands of a clock at 8:00 is 120°

Twelve different video games showing substance use were observed and the duration of times of game play (in seconds) are listed below. The design of the study justifies the assumption that the sample can be treated as a simple random sample. Use the sample data to construct a 98% confidence interval estimate of sigma, the standard deviation of the duration times of game play. Assume that this sample was obtained from a population with a normal distribution.4,757 4,509 4,221 4,486 4,935
4,426 4,905 4,822 4,383 4,956
5,043 4,038

Answers

Answer:

Step-by-step explanation:

How to simply the radical

Answers

6√2 + 4 √32
try to get the same number "2" remaining under the root sign by finding what # times 2 gives 32
6√2 + 4√2×√16
since 16 is a perfect Square √16 gives 4
therefore.
6√2 + 4 ×4 √2
6√2 +16√2
these are Like terms so add them
which would give u
22√2
hoped i helped, feel free to ask any question XOX

a bag contains 5 blue sticks,4 red sticks, and 3 orange sticks and you ask a friend to pick one without looking. what is probability that the stick will be blue?

Answers

the probability of getting a blue stick will be 5/12.

What is probability?

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, a bag containing 5 blue sticks,4 red sticks, and 3 orange sticks and you ask a friend to pick one without looking.

probability = desired outcome / maximum possible outcomes

For the probability of getting a blue stick

since there are 5 blue pen

desired outcome = 5

maximum possible outcomes = 5 + 4 + 3

maximum possible outcomes = 12

thus, probability = 5/12

therefore, 5/12 will be the probability of getting a blue stick.

Learn more about probability here:

brainly.com/question/30034780

#SPJ3

The probability is 5/12

A CPU manufacturer is interested in studying the relationship between clock speed and the operating temperature that results at that clock speed for a particular CPU model. Let x be the clock speed in MHz and let Y be the temperature in ^{\circ}C . The following data was collected:i xi yi1 350 31.42 360 35.63 370 41.84 380 51.05 390 56.86 400 62.87 410 67.4a) Find the equation of the regression line.b) Estimate the temperature for clock speed x = 430 MHz.c) Find the 95% confidence interval for \beta .d) Compute the coefficient of determination R^{2} ?. Is this a high quality fit?

Answers

Let me think this again and I will get back later!! 2.234 graph

SHOW WORK! PLEASE HELP ASAP IF YOU CAN :(A stack of index cards is 3/4 of an inch tall. If each card is 3/160 of an inch thick, how many index cards are in the stack?

Answers

Answer:

so what you have to do first is simplify into variables

S=A 3/4 stack of index cards

C= 3/160

first you can do this with a calculator, divide 3/4 of an inch by 3/160 of an inch.

3/4÷3/160=40

Here is my work shown :)

Male the division into multiplication and swap the numbers in 3/160 to 160/3

3/4 x 160/3

For fraction multiplication, multiply the numerators and then multiply the demoninators to get

3 x 160/4 x 3= 480/12

Divide 480 by 12 which is forty

there you go :) sorry if the answers are messed up and there are spelling errors. but in conclusion the answer is 40

By the way, awesome pfp, I just started watching Toilet Bound Hanako earlier tonight and it's very good so far

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