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
pshichka [43]
3 years ago
6

Question 5

Mathematics
2 answers:
anzhelika [568]3 years ago
7 0

Answer:anwser would be c

Step-by-step explanation:

Mkey [24]3 years ago
3 0

Answer:

$3500

Step-by-step explanation:

Given: A total of $10,000 is invested in two funds, Fund A and Fund B. Fund A pays 5% annual interest and Fund B pays 7% annual interest. The combined annual interest is $630.

To Find: How much of the $10,000 is invested in Fund A

Solution:

Total amount invested =\$ 10000

Let the amount invested in Fund A =\text{x}

The Amount invested in Fund B   =\$ 10000-\text{x}

We know that

\text{interest}=\frac{\text{principal}\times \text{rate} \times \text{time}}{100}

Annual interest accrued from Fund A =\frac{\text{x}\times5}{100}

Annual interest accrued from Fund B =\frac{(10000-\text{x})\times7}{100}

Combined annual interest accrued=\$ 630

Combined annual interest accrued = Annual interest accrued from Fund A+ Annual interest accrued from Fund B

\frac{\text{x}\times5}{100}+\frac{(10000-\text{x})\times7}{100} =\$ 630

\frac{5\text{x}+70000-7\text{x}}{100}=630

\frac{70000-2\text{x}}{100}=630

2\text{x}=7000

\text{x}=3500

Amount invested in Fund A is \$ 3500

You might be interested in
[Help asap, will mark brainliest] Refer to the diagram shown to classify the relationship between each angle pair.
Anastasy [175]

Answer:

a) corresponding

b) alternate interior

c) alternate exterior

d) supplementary

e) vertical

Step-by-step explanation:

I hope this helps :)

8 0
3 years ago
Read 2 more answers
What is the surface area of a rectangular prism that has a length of 9 feet a width of 5 feet and a height of 7.5 feet
lukranit [14]

Answer:

300

Step-by-step explanation:

find the sum of area of all sides

6 0
3 years ago
Simplify (6²)4. <br>how to get the answer​
Anna71 [15]

Answer:

144

Step-by-step explanation:

6^2 = 6x6 = 36

36 x 4 = 144

7 0
3 years ago
Read 2 more answers
Consider a chemical company that wishes to determine whether a new catalyst, catalyst XA-100, changes the mean hourly yield of i
kolezko [41]

Answer:

Null hypothesis:\mu = 750  

Alternative hypothesis:\mu \neq 750  

t=\frac{811-750}{\frac{19.647}{\sqrt{5}}}=6.943  

p_v =2*P(t_{4}>6.943)=0.00226  

If we compare the p value and a significance level assumed \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the actual true mean is significantly different from 750 pounds per hour.  

Step-by-step explanation:

Data given and notation

Data:    801, 814, 784, 836,820

We can calculate the sample mean and sample deviation with the following formulas:

\bar X =\frac{\sum_{i=1}^n X_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

\bar X=811 represent the sample mean  

s=19.647 represent the standard deviation for the sample

n=5 sample size  

\mu_o =750 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses to be tested  

We need to conduct a hypothesis in order to determine if the mean is different from 750 pounds per hour, the system of hypothesis would be:  

Null hypothesis:\mu = 750  

Alternative hypothesis:\mu \neq 750  

Compute the test statistic  

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

We can replace in formula (1) the info given like this:  

t=\frac{811-750}{\frac{19.647}{\sqrt{5}}}=6.943  

Now we need to find the degrees of freedom for the t distirbution given by:

df=n-1=5-1=4

What do you conclude?  

Compute the p-value  

Since is a two tailed test the p value would be:  

p_v =2*P(t_{4}>6.943)=0.00226  

If we compare the p value and a significance level assumed \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the actual true mean is significantly different from 750 pounds per hour.  

4 0
3 years ago
A 165 inch pipe is cut into two pieces. One piece is four times the length of the other.Find the length of the shorter piece. Ho
coldgirl [10]

Answer:

Length of longer length=132 inches

Length of shorter length=33 inches

Step-by-step explanation:

Step 1: Determine total length of pipe

Total length of pipe=165 inches

Step 2: Derive expression for all the lengths

We can express all these lengths as follows;

L=l1+l2

where;

L=total length

l1=length of longer piece

l2=length of shorter piece

but;

length of longer piece=4×length of shorter piece

replacing;

l1=4l2

replacing;

L=165

l1=4×l2

165=l 2+4 l2

5 l2=165

l2=165/5

l2=33 inches

l1=length of longer length=33×4=132 inches

l2=length of shorter length=33 inches

4 0
3 years ago
Other questions:
  • Use a calculator to determine the pattern of attractors for the equation y =kx(1-x) for the given value of k and the given initi
    7·1 answer
  • Crystal reads 25 pages in 1/2 hours write an equation to represnets the relationship between the number of pages crystal reads a
    6·1 answer
  • The opposite process rule says to solve for ________. a known variable by replicating the process used to form the original equa
    5·1 answer
  • Help needed ASAP will give BRAINLIEST
    7·2 answers
  • Classify scatter plot
    5·1 answer
  • A cruise ship travels east across a river at 19.0 meters per minute. If the river is 4,250 meters wide, how long does it take fo
    10·2 answers
  • What is twenty times negative fifteen
    13·1 answer
  • Please answer this question fast​
    10·2 answers
  • I don’t understand linear equations
    9·2 answers
  • Your friend offers to pay you $10 plus $2 per day if you will watch his dog while he’s on vacation. Another friend offers you $1
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!