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tensa zangetsu [6.8K]
3 years ago
10

Consider the graph shown.

Mathematics
1 answer:
Slav-nsk [51]3 years ago
6 0

Answer:

Slope = -1/2

Equation: -1/2x - 1

Step-by-step explanation:

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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
What is the equation of a line passing through the points 6,3 and -4,3 so y=?
Mice21 [21]
Equation of a line using 2 points. first find the slope

m= (y2-y1)/(x2-x1)= (3-3)/(-4-6)= 0/-10 = 0
m=0

using y-y1=m(x-x1)
we get
y-3=0(x-6)
y-3=0

y=3 is the equation of the line
7 0
3 years ago
Where would (0.5,2) be potted ? Please answer this !!
NISA [10]

 (0.5,2)

0.5 is x value

2 is y value

         l

         l

---------------

        l

        l

x value is on dashed line (0.5)

y value is on more separated line going up and down. (2)

To plot 0.5, you can put it as an equation. 0.5= 1/2. So to plot it, 0.5 is half of 1. So plot it as in between the 1 and 0.

To plot 2 go up to the two on the y axis and then go over 0.5 and plot a point.

That is you're plotted point for (0.5,2)


Hope it helps!

7 0
3 years ago
Read 2 more answers
HELP ASAP PLZ IM TIMED
nasty-shy [4]

Answer:

70

Step-by-step explanation:

4 0
2 years ago
A rectangle has a width of 4 inches and a length of 6 inches. A similar rectangle has a width ​
qaws [65]

Answer:

Step-by-step explanation:

6 times 4 is 24 so the answer is 24

3 0
3 years ago
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