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Romashka [77]
3 years ago
14

You spend 2 hours and 15 minutes commuting to work each day. You work five days per week. How much time do you spend commuting t

o work each week?
Mathematics
1 answer:
xeze [42]3 years ago
8 0

11 hours and 15 minutes because doing 2.25, which is equal to 2 hours and 15 minutes, times 5 you end up getting 11.25, and converting that to time you get 11 hours and 15 minutes.

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What’s the scale factor? Please hurry I’m tired and sleep deprived help me I just don’t get it and I want sleep
Doss [256]

In order to find the scale factor we begin by selecting one pair of corresponding sides.

Selecting the base of the triangle

Base of triangle AC is 3 units.

Base of triangle (AC)' is 7.5 units

According to the proportion

AB\cdot k=(AB)^{\prime}

REPLACE TH

7 0
1 year ago
WILL GIVE BRAINLYEST!!!!!
kondor19780726 [428]

Answer:

+10 units

Step-by-step explanation:

8 0
2 years ago
H(4 1/2, -3 1/4) x (3 3/4, -1 3/4) what the midpoint of hx
shtirl [24]

Answer:

(3 7/8, 2 3/4)

Step-by-step explanation:

To find the midpoint, the formula is (x1-x2)/2 and (y1-y2)/2. So, in this case, our x1 is 4 1/2 and our x2 is -3 1/4. Subtract x2 from x1 and you will get 7 3/4. Then, divide by 2 to get 3 7/8. This is our x-coordinate.

Our y1 is 3 3/4 and our y2 is -1 3/4. Subtract y2 from y1 to get 5 1/2. Then divide by two to get 2 3/4. This is our y-coordinate.

Now we have our x and y coordinates.

(3 7/8, 2 3/4)

6 0
3 years ago
A person in a casino decides to play 3 games of blackjack. let w denote a win and l denote a loss. define the event a as "the pe
Ann [662]

Answer: The answer is {(w, l, l), (w, w, l), (w, l, w), (w, w, w), (l, l, w), (l, w, l), (l, w, w)}.



Step-by-step explanation: Given that a person in the casino is going to play 3 games of blackjack. Here, 'w' denotes a win and 'l' denotes a loss.  

Also, let 'A' be the event that the person wins at least one game of blackjack. Then, the outcomes of Event 'A' are

(i) win in 1st game     loss in 2nd game       loss in 3rd game

(ii) win in 1st game     win in 2nd game        loss in 3rd game

(iii) win in 1st game     loss in 2nd game       win in 3rd game

(iv) win in 1st game     win in 2nd game        win in 3rd game

(v) loss in 1st game     loss in 2nd game       win in 3rd game

(vi) loss in 1st game     win in 2nd game        loss in 3rd game

(vii) loss in 1st game     win in 2nd game       win in 3rd game

Thus, the outcomes of the event A are (w, l, l), (w, w, l), (w, l, w), (w, w, w), (l, l, w), (l, w, l) and (l, w, w).

Thus, A = {(w, l, l), (w, w, l), (w, l, w), (w, w, w), (l, l, w), (l, w, l), (l, w, w)}.


5 0
3 years ago
If $1,000 is invested at 4% simple interest, how much will the investment be worth after 2 years? Please explain how compound an
Novay_Z [31]
<h3>Answer:</h3>
  • simple interest: $1080.00
  • compounded annually: $1081.60
<h3>Step-by-step explanation:</h3>

<em>Simple Interest</em>

Simple interest is computed on the principal amount only. Each year, 4% of the principal is added to the balance. So, at the end of 2 years, the balance is ...

... $1000 + 0.04×$1000 + 0.04×$1000

... = $1000×(1 + 0.04×2) = $1000×1.08

... = $1080.00

_____

<em>Comment on the computation</em>

The added interest is the rate (per year) multiplied by the number of years. Here, that is 0.04×2×(principal amount). The formula for the simple interest earned is often seen as ...

... I = Prt . . . . . where I is the amount of interest, P is the principal amount, r is the interest rate for the time period, t is the number of time periods.

The account balance (A) with interest added is ...

... A = P + I = P + Prt

... A = P(1 +rt)

Here, the time period is years, and the rate given is an annual rate.

____

<em>Compound Interest</em>

Compound interest is computed on the <em>account balance</em> at the beginning of the period, not just the <em>principal</em> amount. After the first period, the account balance includes interest earned so far. So, the interest is earning interest. That is why it is called compounded interest.

Here, the balance at the end of the first year is the principal amount plus the interest that has earned:

... $1000 + 0.04×$1000 = $1000×1.04 = $1040.00

The balance at the end of the second year when the interest is compounded is this account balance plus the interest it earns:

... $1040 + 0.04×$1040 = $1040×1.04 = $1081.60

You may notice that the intial principal, $1000, has been multiplied by the factor 1.04 twice. Using exponents, the multiplier for a period of 2 years is 1.04×1.04 = 1.04².

_____

<em>Comment on the computation</em>

The multiplier of the account balance each year is raised to a power that is the number of years. Here, the account balance at the end of 2 years is (1+0.04)² times the principal amount. A formula that is seen for this is ...

... A = P(1 +r)^t . . . . . where A is the final account balance, P is the principal amount, r is the interest rate for the time period, and t is the number of time periods.

7 0
3 years ago
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