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3 years ago

Can someone please help me with 19a?

Mathematics

1 answer:

Mila [183]3 years ago

7 0

Answer:

d(t) = 60t

Step-by-step explanation:

When d = 0, t = 0 as well, so the y-intercept in 0. The slope of the line would be 60.

Hope this helps!

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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

8 0

1 year ago

PLS HELP MY MIDTERM TEST PLS ILL GIVE BRAINLKEST THANKS

valina [46]

Answer:

I believe it would be B. due process

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

4 0

3 years ago

Help please and thank u

Damm [24]

Answer:

Point S is your answer.

Step-by-step explanation:

See how all of them are rays, but they all connect at point S.

Point S is your answer.

6 0

3 years ago

Read 2 more answers

Expand the following 5( 2x -4 )

ycow [4]

Answer:

10x-20

Step-by-step explanation:

5(2x-4)

5x2=10

5x4=20

8 0

3 years ago

How would I do this

xz_007 [3.2K]

When,
correct is 0 then p is 0/20.
correct is 1 p is 1/20
correct is 2 p is 2/20 that is 1/10
correct is 3 p is 3/20.
correct is 4 p is 4/20 that is 1/5
correct is 5 p is 5/20 that is 1/4

5 0

3 years ago