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3 years ago

Look at the graph shown below:

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

3 0

Answer:

Step-by-step explanation:

y=3/4x+4 best represents the line shown below. Because the slope of this graph is 3/4, and the y-intercept is positive 4. Remember that slope=rise/run. You can find the slope very easily by counting, 3 upwards and 4 rightwards.

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Pedro Pascal wants to have $15,000 in an account after five years. He found a bank that will offer him a 7.5% interest rate, com

Juli2301 [7.4K]

Answer-

He needs to put $10345 in the account today, in order to get 15000 in five years.

Solution-

We know that,

$A=P(1+\frac{r}{n})^{nt}$

Where,

A = future value of the investment with interest = 15000

P = principal investment amount

r = annual interest rate (decimal) = 7.5% = 0.075

n = number of times that interest is compounded per year = 4

t = the number of years the money is invested = 5

Putting the values,

$15000=P(1+\frac{0.075}{4})^{4 \times 5}$

$\Rightarrow P=\frac{15000}{(1+0.01875)^{20}} =\frac{15000}{1.01875^{20}} =\frac{15000}{1.45} =10344.8 \approx 10345$

6 0

3 years ago

How many quarts of pure antifreeze must be added to 8 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution?

Vinvika [58]

Answer:

we have 8 quarts of 40% antifreeze,

according to the britain equivalent, 1 quart = 1.13L

so, we have 8 * 1.13L = 9.04 L

out of the 9.04 L, 40% is antifreeze

amount of antifreeze = 0.4 * 9.04 = 3.616 L

moles of antifreeze present = 3.616/22.4 = 0.16 moles

moles of antifreeze in 60% solution = 0.6 * v/22.4 = 0.027 * v

(where v is the volume of final solution)

molarity of initial solution = 0.16/9.04 = 0.018 M

molarity of final solution = 0.027*v/v = 0.027 M

m1*v1 = m2*v2

0.018 * 9.04 = 0.027 * v

v = 0.018 * 9.04/0.027

v = 6.026 L

amount if antifreeze in the final solution = 6.026 * 0.027 =

0.163 Moles of antifreeze

amount in L = 0.163 * 22.4 = 3.65 L

amount in quarts = 3.65/1.13 = 3.23 quarts

4 0

3 years ago

F(x)=-x^2-4x-6 Axis of symmetry and vertex

NikAS [45]

The vertex of the equation is ( -2 , -2 )

The axis of symmetry is x= - 2

5 0

3 years ago

18 students are going on a field trip and 10 students are staying at school. What is the ratio of the number of students who are

galben [10]

Answer: c

Step-by-step explanation:

because 18 students are going and 10 are staying

7 0

1 year ago

Read 2 more answers

Sita Rahim drove due north for 3 hours at 46 miles per hour. From the

Phantasy [73]

Answer:

224 miles

Step-by-step explanation:

What you would do is take the 3 hours times the 46 mph to get 138 miles.

3*46=138

Next, multiply the 2 hours by the 43 mph to get 86 miles.

2*43=86

Lastly, you're going to add the two.

138+86=224 miles.

6 0

3 years ago