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Marta_Voda [28]
3 years ago
7

Is the set of positive intergers the same as nonnegative integers?

Mathematics
1 answer:
algol133 years ago
8 0
No there totally differnt 
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Explain the error a student is asked to find when the value of an investment of $5200 is an account that earns 4.2% annual inter
zloy xaker [14]

We are given the following information

Investment = $5200

Annual interest rate = 4.2% = 0.042

Final amount = $16,500

Number of years = 27.7 years

Number of compoudings = quartely = 4

The student uses the following model

V(t)=5200(1.014)^{3t}

The general formula for compound interest is given by

V(t)=P(1+\frac{r}{n})^{nt}

As you can see, the number of compoundings is incorrect (3 vs 4)

The interest rate is also incorrect.

Let us substitute the given values into the above formula

\begin{gathered} V(t)=P(1+\frac{r}{n})^{nt} \\ V(t)=5200(1+\frac{0.042}{4})^{4\cdot27.7} \\ V(t)=5200(1+0.0105)^{110.8} \\ V(t)=5200(1.0105)^{110.8} \\ V(t)=\$16543.5^{} \end{gathered}

Therefore, the final amount is approximately $16,543.5

5 0
1 year ago
What is the true solution to the equation below? ln e^lnx^2=2 ln 8?
arlik [135]
x\ \textgreater \ 0\\\\
\ln e^{\ln x}+\ln e^{\ln x^2}=2\ln 8\\
\ln x+\ln x^2=\ln 8^2\\
\ln (x\cdot x^2)=\ln 64\\
\ln x^3=\ln 64\\
x^3=64\\
x=4\Rightarrow \text {B}

6 0
3 years ago
Read 2 more answers
dillon pays x dollars to get a haircut. he gives the stylist a 15% tip. the expression representing his total cost is x + 0.15x
bagirrra123 [75]

Answer:

B) 1.15x, adding 15% to the cost of haircut is same as to multiply cost by 1.15

Step-by-step explanation:

Given expression = x + 15% of x

x + (15/100) x = x + 0.15x

= (1+ 0.15) x = 1.15x

15% = 0.15 , added to x = 1.15x

4 0
3 years ago
the sum of three numbers is 131. the third number is 4 times the first. the second number is 5 more than the first. what are the
Sphinxa [80]

Step-by-step explanation:

let the numbers are:

a, b, and c

the equation would be:

a+b+c = 131

c = 4a

b = a+5

=>

a + a+5 +4a = 131

6a +5 = 131

6a = 131-5

6a = 126

a= 126/6

a = 21

b = a+5 = 21+5

b = 26

c = 4a = 4(21)

c = 84

4 0
2 years ago
Trey runs 3 miles in 25 minutes. At the same rate, how many miles would he run in 20 minutes?
aalyn [17]

Answer:

Step-by-step explanation:

Set up a proportion.

3/25 = x / 20      Notice that both times are in the denominators. Be sure you always set up a proportion that way. Like units in the denominator. Like units in the numerator.

Cross multiply

3 * 20 = 25 * x                        Combine

60 = 25x                                 Divide by 25

60/25 = x

x = 2.4 miles in 20 minutes.

4 0
2 years ago
Read 2 more answers
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