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gregori [183]
2 years ago
14

50 POINTS ILL GIVE BRAINLIEST ! random answers will be reported!

Mathematics
2 answers:
nlexa [21]2 years ago
5 0

Answer:

4)P = $615.38.   5)P = $1,482.35

Step-by-step explanation:

<em><u>4)P = $615.38</u></em>

Equation:

P = A / (1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year.

Solving our equation:

P = 640 / ( 1 + (0.04 × 1)) = 615.38461538462

P = $615.38

The principal investment required to get a total amount, principal plus interest, of $640.00 from simple interest at a rate of 4% per year for 1 years is $615.38.

<em><u>2)P = $1,482.35</u></em>

Equation:

P = A / (1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 12%/100 = 0.12 per year.

Solving our equation:

P = 2016 / ( 1 + (0.12 × 3)) = 1482.3529411765

P = $1,482.35

The principal investment required to get a total amount, principal plus interest, of $2,016.00 from simple interest at a rate of 12% per year for 3 years is $1,482.35.

Akimi4 [234]2 years ago
5 0
Отзовись ярму рыцарь бы б
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A bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km away. Write a formula expressing
yawa3891 [41]

1. The formula expressing the dependence of the variable s on t is: s = 60 - 12t

2. the distance travelled at time t = 3.5 h is 18 Km

<h3>What is speed? </h3>

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

<h3>1. How to determine the formula expressing the dependence of the variable s on t</h3>

From the question given, bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km.

Thus, we shall determine the distance travel in time t as follow

  • Speed = 12 Km/h
  • Time = t
  • Distance in time t = ?

Speed = distance / time

12 = distance / t

Cross multiply

Distance = 12 × t

Distance in time t = 12t

But the total distance travelled is 60 Km. Thus, the remaining distance (s) from the bicyclist to the station at time (t) will be given as:

s = 60 - 12t

Thus, the formula expressing the dependence of the variable s on t is: s = 60 - 12t

<h3>2. How to determine the distance at t = 3.5 hours</h3>

The distance at t = 3.5 hours can be obtained as illustrated below:

  • Time (t) = 3.5 hours
  • Distance (s) = ?

s = 60 - 12t

s = 60 - (12 × 3.5)

s = 60 - 42

s = 18 Km

Thus, the distance travelled at t = 3.5 hours is 18 km

Learn more about speed:

brainly.com/question/680492

#SPJ1

6 0
2 years ago
the diameter of the a sphere is increading at the rate of 2cm. per minute. Find the rate of change of the radius
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So...the diameter is increasing at a rate if 2cm/minute, therefore the radius (1/2 the diameter) is increasing at half the rate. You will learn how to calculate the rate of change at a specific point in time in calculus.
3 0
3 years ago
Suppose you can work at most a total of 25 hours per week. Baby-sitting, x, pays $6 per hour and working at the grocery store, y
Andrei [34K]

Answer:

<u><em>y=7  </em></u><u>number of hours at grocery store</u>

<u><em>x=18 </em></u><u>number of hours at baby- sitting</u>

Step-by-step explanation:

According to the information provided.

x is number of hours at baby- sitting

y is number of hours at grocery store

total number of hours worked

<em>1) </em><em>x+y =25</em>

total earn in a week

<em>2) </em><em>x*$6 + y* $9 = $171</em>

<em />

<em>from equation 1</em>

x+y=25

x= 25-y

<em>we place the above derived equation in equation 2 </em>

x*$6 + y* $9 = $171

(25-y)*$6 + y* $9 = $171

(25*6) -6y +9y =171

150+3y=171

3y=171-150

3y=21

<u><em>y=7  </em></u><u>number of hours at grocery store</u>

x= 25-y

x= 25-7

<u><em>x=18 </em></u><u>number of hours at baby- sitting</u>

3 0
3 years ago
Could someone please help me with this thank you very much
elena-s [515]

Answer:

Answer for #10:

y = 2 \: and \: x = 1

Answer for #1:

x = 2 \: and \: y =  - 1

Step-by-step explanation:

In order to solve a simultaneous equation using the substitution method you have to:

Use one of the equation and substitute it into the other equation, in this case equation <em>B</em><em> </em>was substituted into equation <em>A</em><em>.</em>

<em>equ. \: a = (2x - 3y = 7) \\ equ. \: b = (x = 1 - y)</em>

Therefore since x = 1 - y, equation A would be:

2(1 - y) - 3y = 7 \\ (2 - 2y) - 3y = 7 \\  - 2y - 3y = 7 - 2 \\  - 5y = 5 \\ y =  - 1 \: and \: x = 2

8 0
2 years ago
7. CHALLENGE: Use the digits 0 to 9 to make the equation true. You don't need to use all thedigits you can only use each digit o
labwork [276]

9514 1404 393

Answer:

  20 = 2 + (7 -4) × 6

Step-by-step explanation:

The Order of Operations requires the parentheses be evaluated first, then the multiplication performed. Finally, the addition is performed.

If each of the blanks is filled with a single digit, the result of the multiplication must be a composite number greater than 10. Those are 12, 14, 15, 16, 18, 20. For the expression shown above, we have chosen to make the product be 18. That means the first blank is filled with 2 and the remaining blanks must evaluate to one of the products 2×9 or 3×6.

We have chosen 6 for the last blank, so the two blanks in parentheses must have a difference of 3. The digits 2 and 6 cannot be used, leaving possible choices as (3-0), (4-1), (7-4), (8-5).

Our final expression is chosen to be ...

  20 = 2 +(7 -4)×6

3 0
2 years ago
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