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Sliva [168]
2 years ago
13

Billy left home at 9 a.m and rode his bicycle to the park at an average speed of 10 miles per hour . He arrived at the park at 9

:30 a.m
1. How many miles from the park is Billy’s home
Mathematics
1 answer:
zloy xaker [14]2 years ago
7 0

Answer: 5 miles away.

Explanation:

He travels 10 miles per hour.

The park is 30 minutes away, according to the text.

30 minutes is half an hour.

m = miles h = hours

10m = h

10m / 2 = h / 2

5m = 30 seconds

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Idk how to do this without an image honestly
Art [367]

9514 1404 393

Answer:

  (x, y) ⇒ (x -m, y -n)

Step-by-step explanation:

Reverse the arrow and solve for the x and y on the left:

  (x +m, y +n) ⇒ (x, y)

This resolves to two relations:

  x + m ⇒ x

  x ⇒ x - m . . . . . subtract m

and

  y + n ⇒ y

  y ⇒ y - n . . . . . . subtract n

Putting these back together, we have ...

  (x, y) ⇒ (x -m, y -n) . . . . . maps P'Q' to PQ

_____

The original translation was right m and up n. The reverse translation is left m and down n. That is what the rule shows.

6 0
2 years ago
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
Poison Ivy had $17.34 in her account. She wrote a check for $24.86. What will her account balance be when the check is cashed? F
Ierofanga [76]

Answer:

it would be negative you subrtract not add , the answer is -7.52

Step-by-step explanation:

5 0
2 years ago
Does anybody know this true or false question ?????
Lesechka [4]

Answer:True

Step-by-step explanation: The smaller triangle is half as small

5 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!!!!!!!!!!!!!!
Mamont248 [21]
It is -p... think about it.... two negative signs equal a positive sign, if there are an odd number of negative sign's the real answer is -p, and if there is an even amount, it means it is positive p. In your situation, there are 5 negative signs, so since 5 is an odd number, the p has to be negative.
5 0
3 years ago
Read 2 more answers
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