1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SpyIntel [72]
3 years ago
6

$9500 is invested, part of it at 11% and part of it at 8%. For a certain year, the total yield is $937.00. How much was invested

at each rate
Mathematics
1 answer:
netineya [11]3 years ago
8 0

Answer:

5900 at 11%

3600 at 8%

Step-by-step explanation:

x= invested at 11%

y= invested at 8%

x+y=9500

.11x+.08y=937

Mulitply the first equation by .11

.11x+.11y= 1045

Subtract this and the second equation

(.11x+.11y)-(.11x+.08y)=1045-937

.03y=108

y=3600

SOlve for x

x+3600=9500

x=5900

You might be interested in
Caroline bought 20 shares of stock at 10 1/2, and after 10 months the value of the stocks was 11 1/4. If Caroline were to sell a
mojhsa [17]

11.25 - 10.5 = 0.75

Knowing that this is the profit she makes with one share, so:

20 * 0.75 = 15

Caroline made $15 profit.

7 0
3 years ago
Hey i need help please
Papessa [141]
 255.is the answer because of the 38 and the 48 percent of each of both the x and y and is you add then times them you get 255 as your answer
5 0
3 years ago
Mr.Swanson drove 150 miles in 4 hours how many miles will he drive in 1 hour
PIT_PIT [208]

Answer:

37.5 miles

Step-by-step explanation:

Distance covered in 4 hours = 150 miles

Distance covered in 1 hour = 150/4 = 37.5 miles

4 0
2 years ago
7/9 + 5/12 with lcm pls help<br> and give explanation pls
Viefleur [7K]

Answer:

1. 43/36

2. 1/2

Step-by-step explanation:

1. 7/9 + 5/12

= LCM of 9 and 12 is 36

= 28/36 + 15/12

= (28 + 15) / 36

= 43/36

2. 21/24 - 3/8

= LCM of 24 and 8 is 24

= 21/24 - 9/24

= (21 - 9) / 24

= 12/24

= 1/2

3 0
2 years ago
Read 2 more answers
A random sample of 40 binomial trials resulted in 14 successes. test the claim that the population proportion of successes does
mylen [45]

Using the z-distribution, since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.

<h3>What are the hypotheses tested?</h3>

At the null hypotheses, we test if the proportion of successes equals 0.5, hence:

H_0: p = 0.5

At the alternative hypotheses, we test if it does not equal, hence:

H_1: p \neq 0.5

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

For this problem, the parameters are given by:

n = 40, \overline{p} = \frac{14}{40} = 0.35, p = 0.5

Hence the test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

z = (0.35 - 0.5)/(0.5/sqrt(40))

z = -1.9.

<h3>What is the decision?</h3>

Using a z-distribution calculator, considering a two-tailed test, as we are testing if the proportion is different of a value, with z = -1.9, we get that the p-value of the test is of 0.057.

Since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ4

5 0
1 year ago
Other questions:
  • If 8x=4<br><br>What is 2+12x?
    13·1 answer
  • Between which Two numbers will you find 5.634 x 10
    9·1 answer
  • How many times can 72 go into 12?
    6·2 answers
  • The position function of a particle in rectilinear motion is given by s(t) s(t) = t3 - 9t2 + 24t + 1 for t ≥ 0 with t measured i
    14·2 answers
  • If 35% of the students attended the ceremony. What fraction of the students attended the ceremony? Help, please!
    10·1 answer
  • The point (–7, –3) is located in which quadrant?
    5·2 answers
  • On Monday, the high temperature in Abilene was 75.6 degrees Fahrenheit and the high temperature in New York City was 54 degrees
    14·1 answer
  • Solve for b 6b + 16 = 94
    15·2 answers
  • A seal went 15 feet below sea level to catch a fish. A sea lion dove 6 feet less than two times as deep as the seal to catch a l
    15·1 answer
  • What is the measure of angle AFR?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!