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Mazyrski [523]
3 years ago
11

Can anyone help me with this?

Mathematics
1 answer:
sergiy2304 [10]3 years ago
8 0

Answer:

Constant of proportionality is r = \frac{10}{3}

Equation is c = \frac{10}{3}g

================================================

Explanation:

The general equation they give is c = rg

Solving for r leads to r = \frac{c}{g}. We divided both sides by g to get this.

Now pick any point on the diagonal line. I'll pick (3,10)

The graph shows the horizontal axis is g and the vertical axis is c. The point (3,10) means g = 3 and c = 10 pair up together.

Making r to be,

r = \frac{c}{g} = \frac{10}{3}

and the equation in the form c = rg would be

c = \frac{10}{3}g

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cynthia invests some money in a bank which pays 5% compound interest per year. She wants it to be worth over £8000 at the end of
exis [7]

Answer:

The smallest amount is \£6,911

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=3\ years\\ A=\£8,000\\ r=5\%=5/100=0.05\\n=1  

substitute in the formula above

8,000=P(1+\frac{0.05}{1})^{1*3}  

solve for P

8,000=P(1.05)^{3}  

P=8,000/(1.05)^{3}  

P=\£6,910.70  

Round to the nearest pound she can invest

The smallest amount is \£6,911

6 0
3 years ago
A standardized test that colleges use to make admissions decisions is the _____.
Aloiza [94]

Answer:

D

Step-by-step explanation:

EXPLORE test is the college test ACT's "prep" version mostly for 8th and 9th graders.

ASVAB (Armed Services Vocational Aptitude Battery) test is used for military entrance exam.

PLAN is also like EXPLORE that it is a "prep" test for ACT but usually given to sophomore (10th grade) students. This has been discontinued from 2014, though.

SAT is a standardized test administered by College Board and is a widely used common Undergraduate University admissions exam. Colleges use this to make admissions decisions.

Thus, D is the correct choice.

7 0
3 years ago
Read 2 more answers
The weights of bags of grasecks chocolate candies are normally distributed with a mean of 4.3 ounces and a standard deviation of
skelet666 [1.2K]

Answer: 0.2743

Step-by-step explanation:

Let X be a random variable that represents the weight of bags of grasecks chocolate candoes.

X that follows normal distribution with, Mean = 4.3 ounces, Standard devaition = 0.05 ounces

The probability that a bag of these chocolate candies weighs less than 4.27 ounces :P(X

=P(z

Hence, the required probability = 0.2743

7 0
2 years ago
Hello there!
jok3333 [9.3K]

Answer:

4. dy/dx = -2

8. dy/dx = 1/2 x^(-3/2)

10/ dy/dr = 4 pi r^2

Step-by-step explanation:

4.  y = -2x+7

dy/dx = -2(1)

dy/dx = -2

8.  y = 4 - x^-1/2

 dy/dx =  - (-1/2x^ (-1/2-1)

 dy/dx = 1/2 x^(-3/2)

10.  y = 4/3 pi r^3

dy/dr = 4/3 pi  (3r^2)

dy/dr = 4 pi r^2

7 0
3 years ago
Which is greater a bottle containing 64 fluid ounces or bottle containing two liters of water
suter [353]

Answer:

2 liters, 64 fl. ounces would be converted to liter by 1.8927059 Liters

Step-by-step explanation:

7 0
3 years ago
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