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Masja [62]
2 years ago
13

I don't know how to do things like this :(​

Mathematics
2 answers:
Fofino [41]2 years ago
3 0

Answer:

Step-by-step explanation:

i think its a

Nezavi [6.7K]2 years ago
3 0
Reduce the index of the radical and exponent with 2. So It’s the last one: a+b

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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
How do I solve this equation for x?
tester [92]
1) Divide both sides by 2
2x+12^2/3 =16

2) Solve the exponent
2x+12^2/3 =16

(2x+12^2/) ^3/2 =16^3/2 ( raise both sides to power)

2x+12 = 64

3) Subtract 12 from both sides
2x + 12 - 12 = 64-12

2x = 52

4) divide both sides by 2
2x/2 = 52/2

x = 26


Final answer : x = 26

7 0
3 years ago
Jim runs 12 miles in 4 hours how many feet does he run per minute
hjlf

h= number of hours

m= number of miles

Formula: 4h=12m

(4 hours equals 12 miles)

Divide 4 on each side.

h= 3m

3 miles per hour.

Then, convert miles to feet. And hours to minute.

To do this simultaneously,

Convert miles to feet and hours to minutes.

There should be 3 "fractions" to multiply.

The first should be the original problem:

3miles/1 hour. (3 miles per hour).

The second should be 1 hour/60min. (1 hour per 60 min).

The third should be 5280 ft/1 mile. (5280 feet per mile).

The second and the third fractions are to convert miles to feet and the hours to minutes.

8 0
3 years ago
Consider the following system of equations given in slope-intercept form. y=-3x+17 y = 5x - 23 Use the graphing calculator to de
Slav-nsk [51]

Answer:

Consider the following system of equations given in slope-intercept form.

y = −1

3

x + 17,

y = 5x - 23

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Geoff has d donuts. The amount of bagels he has is 3 less than 4 times the amount of donuts.
bazaltina [42]
Bagels = 4d - 3

Four times means 4d and you subtract 3 because Geoff has three less than 4 times. 

4 0
3 years ago
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