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3 years ago

Math again :( can you help me please?

Mathematics

1 answer:

WINSTONCH [101]3 years ago

5 0

Answer:

7. 8200 miles

8. $350

Step-by-step explanation:

7. The first trip nets 3400 miles; the next four trips (for a total of five) net 1200 miles each, so the total for 5 round trips is ...

... 3400 + 4×1200 = 8200 . . . miles

8. The first month costs $100; the next 5 months (for a total of 6) cost $50 each, so the total for 6 months is ...

... $100 + 5×$50 = $350

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When does a parabola open upward

RUDIKE [14]

Answer:

If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is horizontal (opens left or right). If a is positive, the parabola opens up or to the right. If it is negative, it opens down or to the left.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

2. Harry just deposited $1500 into a savings account giving 6% interest compounded quarterly.a) How much will be in the account

Studentka2010 [4]

The formula for compound interest is:

$\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ \text{where,} \\ A=\text{ Final amount} \\ r=\text{ Interest rate} \\ n=\text{ Number of times interest applied per period} \\ t=\text{ Number of time period elapsed} \\ P=\text{ Intial principal balance} \end{gathered}$

Given data:

$\begin{gathered} P=\text{ \$1500} \\ r=6\text{ \%}=0.06 \\ n=4\text{ times (compounded quarterly)} \end{gathered}$

a. After ten years, that is t = 10 years, the amount in the account will be

$\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times10} \\ A=\text{ }1500(1+0.015)^{40} \\ A=\text{ }1500(1.015)^{40} \\ A=\text{ \$2721.03} \end{gathered}$

b. After twenty years, that is t = 20 years, the amount in the account will be:

$\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times20} \\ A=1500(1.015)^{4\times20} \\ A=1500(1.015)^{80} \\ A=\text{ \$}4935.99 \end{gathered}$

c. The time it takes for Harry's initial account value to double will be:

$\begin{gathered} A=2\text{ x initial value = 2 }\times\text{ \$1500 = \$3000} \\ 3000=1500(1.015)^{4t} \\ (1.015)^{4t}=\frac{3000}{1500} \\ (1.015)^{4t}=2 \\ \text{ Find the logarithm of both sides} \\ \ln (1.015)^{4t}=\ln 2 \\ 4t=\frac{\ln 2}{\ln 1.015} \\ 4t=46.56 \\ t=\frac{46.56}{4}=11.64 \end{gathered}$

Therefore, the time it takes Harry's initial account to double is approximately 11 years

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1 year ago

The perimeter p of a rectangle is given by the formula p=2L+2w, where L is the length of the rectangle and w is the width. Which

Ilya [14]

D) p/2 - l

because, p= 2(l+w)
P/2=l+w
w=p/2-L

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3 years ago

What is the midpoint of the line segment (-6,3) (-10,7)

Maurinko [17]

Answer:

(-8,5)

Step-by-step explanation:

its what comes in between the two

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2 years ago

Read 2 more answers

9a + 18c. What is the value of the expression when a = −5 and c = −1?

saw5 [17]

1. plug in the numbers for the variables, like this: 9(-5)+18(-1)

2. solve
Hopefully this helps! Let me know if you need more explanation.

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2 years ago