Answer:
Principal (amount invested) = $14,350
Step-by-step explanation:
Given the simple interest amount of $2,870 earned in 4 years at 5% interest rate:
In order to find the principal amount that was invested, we could use the simple interest formula and isolate the variable, P, algebraically.
I = P × r × t
where:
I = interest earned = $2,870
P = principal amount invested = ?
r = interest rate = 5% or 0.05
t = time = 4
Divide both sides by (r × t ) to isolate P :
[tex]\displaystyle\mathsf{\frac{I}{(r\:\times\:t)}\:=\:\frac{P\:\times\:r\:\times\:t}{(r\:\times\:t)}}[/tex]
[tex]\displaystyle\mathsf{P\:=\frac{I}{(r\:\times\:t)}}[/tex]
Substitute the given values into the formula for P:
[tex]\displaystyle\mathsf{P\:=\frac{I}{(r\:\times\:t)}\:=\:\frac{2870}{0.05\:\times\:4}}[/tex]
[tex]\displaystyle\mathsf{P\:=\frac{2870}{0.20}=14,350}[/tex]
Therefore, the principal amount invested is $14,350.
solve this equation:
1.25x+5.00 greater than or equal to 20.00
Which of these accurately describes the motion of the train?
Answer:
C
Step-by-step explanation:
For the first part, a velocity graph would show the constant velocity, and the curve represents the constant negative acceleration, which could be seen on a acceleration graph. The final part after the curve shows the 0 velocity because the position is constant.
a/4−5/6=−1/2 big ideas
Answer:
4/3
Step-by-step explanation:
A/4 - 5/6 = -1/2(A6 - 20)/24 = -1/2A6 - 20 = -(1/2) x 24A6 = -12 + 20A6 = 8A = 8/6A = 4/3In grade 10, the ratio of boys to girls is 2: 3. There are 75 girls. How many are boys?
HELP PLEASE .. I WILL GIVE A BRAINLIEST !
Answer:
150
Step-by-step explanation:
The ration is 2/3 in this example means they are twice as many boys than girls. If boys = 2/3, than girls = 1/3.
So, to find the answer, you must multiply 75 by 2, which is 150.
You don't need this, but they are 75 + 150 = 225 boys and grils in grade 10.
June earned $ 75 last week. April earned $25. June earnings were how many times greater than April
Answer:
3 times
Step-by-step explanation:
75÷25=3 times greater than April
Did I do 11,7 right ?
Answer:
Yes
Step-by-step explanation:
Which of the following is the perimeter of a triangle with side lengths of 8 in, 9 in, and 11 in?
Answer:
show the question
Step-by-step explanation:
kyle took at total of 8 quizzes in the first 4 weeks of school. How many weeks of school will he have to attend before he will have taken a total of 12 quizzes?
Answer:
6 weeks
Step-by-step explanation:
8 quizzes = 4 weeks
So 2 quizzes/week
It will take her 12/2 weeks (6) to finish 12 quizzes
-Chetan K
What is the y intercept of y= 3x + n
Answer:
Step-by-step explanation:
1
Twelve pounds of the element plutonium is released in a nuclear accident. The amount of plutonium P that is present after t months is given by P(t)=12e^-0.1507t. What amount of plutonium remains after 36 months? Round to two decimal places.
The amount of Plutonium that remains after 36 months is 0.05
The equation for the amount of Plutonium after t months is
[tex]\mathbf{P(t) = 12e^{-0.1507t}}[/tex]
After 36 months; we have: t = 36.
Substitute 36 for t in P(t).
So, we have:
[tex]\mathbf{P(36) = 12e^{-0.1507 \times 36}}[/tex]
Simplify the exponent
[tex]\mathbf{P(36) = 12e^{-5.4252}}[/tex]
Evaluate the exponent
[tex]\mathbf{P(36) = 12 \times 0.004404}[/tex]
Multiply
[tex]\mathbf{P(36) = 0.052848}[/tex]
Approximate to 2 decimal places
[tex]\mathbf{P(36) = 0.05}[/tex]
Hence, the amount that remains is 0.05
Read more about exponential functions at:
https://brainly.com/question/11487261
100÷5+25×3=
AYUDAA ES PARA HOYYY
Answer:
95
Step-by-step explanation:
100 divided by 5 plus 25 times 3 is 95 :)
100/5=20
25x3=75
75+20=95
95
simplify the ratio 12 1/4 : 8
Answer: 49 : 32
Step-by-step explanation:
12 1/4 = 49/4
12 1/4 : 8 = 49/4 : 8
12 1/4 : 8 = 49/4 : 8/1
12 1/4 : 8 = 49/4 : 32/4
12 1/4 : 8 = 49 : 32
12 1/4 : 8 = 49 : 32
When thirteen is reduced by two-thirds of a number, the result is 7. Find the number.
The number is
Answer:
30Step-by-step explanation:
Let,
The req. number be = x
So,
Two - thirds of the number
[tex] = \frac{2}{3} x[/tex]
Then, it is reduced by 13
[tex] = \frac{2}{3} x - 13[/tex]
After that,
The req. result we get is = 7
Therefore,
By the problem,
[tex] = > \frac{2}{3} x - 13 = 7[/tex]
(On putting like terms on one side)[tex] = > \frac{2}{3} x = 7 + 13[/tex]
(On Simplification)[tex] = > \frac{2}{3}x = 20[/tex]
(On multiplying both sides with 3/2)[tex] = > \frac{2}{3} x \times \frac{3}{2} = 20 \times \frac{3}{2} [/tex]
(On Simplification)=> x = 30
Hence,
The req. number is 30.
Given that :
Thirteen is reduced by two-thirds of a number. And their result is 7.To Find :
The number.Solution :
Let's assume the number as x
According to the question :
[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 = 7 }[/tex]
Adding 13 to both sides we get :
[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 + 13 = 7 + 13 }[/tex]
[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x = 20 }[/tex]
Now, Multiplying both sides by [tex] \dfrac{3}{2} [/tex] we get :
[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x \times \dfrac{3}{2} = 20 \times \dfrac{3}{2} }[/tex]
[tex]\qquad \sf \: { \dashrightarrow \dfrac{ \cancel2}{ \cancel3}x \times \dfrac{{ \cancel3}}{ \cancel{2}} = \cancel{20} \times \dfrac{3}{ \cancel{2}} }[/tex]
[tex]\qquad \sf \: { \dashrightarrow x = 10 \times {3} }[/tex]
[tex]\qquad \bf \: { \dashrightarrow x = 30 }[/tex]
Therefore, The number is 30.
help plsss TT ill givee brainly
Answer:
Find the Circumference!
Step-by-step explanation:
Finding the circumferenfe is pretty simple!
On this question, it looks like the diameter is 14!
take the circumference and divide it by 2
14/2
Take the answer and multiply it by PI (3.14).
7 * 3.14 = 21.98
40 points! Help (Vectors)
Answer:
distance, speed, time, temperature , work, energy, charge, voltage are all scalar quantities. Displacement, velocity, acceleration, force, electromagnetic field are all vector quantities.
Step-by-step explanation:
Displacement and velocity.
x+x+y×y simplified ?
Answer:
(x+x)+ (y+y)
=2x + 2y
thank you
come here in meet dpibazhogk
Hey there!
x + x + y × y
= 1x + 1x + 1y × 1y
COMBINE the LIKE TERMS
= (1x + 1x) + (1y × 1y)
= 2x + y²
= y² + 2x
Therefore, your answer should be: y² + 2x
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Camilla invests $5,000 into an account with a 1.8% interest rate that is compounded monthly. How much money will be in this account after 4 years?
Round your answer to the nearest cent.
Answer:
There would be $5,372.99 in Camilla's account after 4 years.
Step-by-step explanation:
Total Principal $5,000.00
Total Interest $372.99
* interest rate of 1.8% compound monthly is equivalent to annual rate of 1.815%
Camilla will have approximately $5,454.41 in her account after 4 years.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Camilla invests $5,000 into an account with a 1.8% interest rate that is compounded monthly.
Now, After 4 years, the investment will grow to:
= $5,000 (1 + (1.8%/12))¹²ˣ⁴
= $5,000 (1 + (1.8%/12))⁴⁸
= $5,454.41
Hence, Rounding this to the nearest cent gives us a final answer of $5,454.41.
So, Camilla will have approximately $5,454.41 in her account after 4 years.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
please answer it fast .......^-^......
Answer:
990- YES, YES, NO,YES, YES, NO, YES, YES, YES
1586- YES, NO, NO, NO, NO, NO, NO, NO, NO
275- NO, NO, NO, YES, NO, NO, NO, NO, YES
6686- YES, NO, NO, NO, NO, NO, NO, NO, NO
639210- YES, YES, NO, YES, YES, NO, NO, YES,YES
429714- YES, YES, NO, NO, YES, NO, YES, NO, NO
2856- YES, YES, YES, NO, YES, YES, NO, NO, NO
3060- YES, YES, YES, YES, YES, NO, YES, YES, NO
406839- NO, YES, NO, NO, NO, NO, NO, NO, NO
Step-by-step explanation:
hope this helped<3
Pls Help! Worth 8 Points Will Give Brainlest
Answer:
D. x - 5
Step-by-step explanation:
The text said that Sienna's hight is LESS than her brothers hight and less = minus
Answer:D
Step-by-step explanation:hope i helped i love helping people like you. :)
How many milliliter are in 0.3grams
Answer:
0.3ml
Step-by-step explanation:
0.1 g = 0.1 ml
Classify the quadrilateral, Explain your reasoning. Thank you!!
Answer: y=7, x=2
Step-by-step explanation:
∠Q+∠P=180° (∠s between 2 // lines)
97°+(12y-1)°=180°
12y-1=83°
12y=84
y=7
5x+6=8x (Iso triangle)
x=2
Order the fallowing numbers from least to greatest put the lowest number on the left. -4 , 2 , -1, 3
Answer:
-4,-1,2,3
Step-by-step explanation:
Show your work and write an expression using the following criteria:
1. A dividend greater than 1,000
2. The quotient is 58 with a remainder of 22
Answer:
this is correct
Step-by-step explanation:
A dividend is a number we want to divide by another number. It's supposed to be greater than 1000.
Quotient - the integer result of division. Remainder - well, what remains.
9/4 = 2, with remainder 1.
You want to find a number greater than 1000, which, when divided by another number, results in 37, with a remainder of 4.
I would multiply 37 by an increasing number until we get a product greater than 1000. This number is the one you are dividing by. Now add 4 to the product, so that when the sum is divided by the number you found we'll get a remainder of 4.
Evaluate the expression 8+7
Answer:
15
Step-by-step explanation:
Calculate the sum of 8+7 which is 15
chapter 6.4 : Problem 4
Answer:
wdym
Step-by-step explanation:
A number x increased by 4 is less than or equal to 27.
Answer:
x + 4 < 27
-4. -4
x > 24
Step-by-step explanation:
put lines under signs
please help struggling a lot!
Answer:
- 162, 486, - 1458
Step-by-step explanation:
To find the next term in a geometric sequence , multiply the previous term by the common ratio r
r = [tex]\frac{T_{2} }{T_{1} }[/tex] = [tex]\frac{-18}{6}[/tex] = - 3 , then
T₄ = T₃ × - 3 = 54 × - 3 = - 162
T₅ = T₄ × - 3 = 486
T₆ = T₅ × - 3 = - 1458
to convert 13 feet to yards you would use the ratio 1 yard / 3feet or true or false
Answer:
True
Explanation:
3 feet is 1 yard so 13/3 is 4.3 yards approximately
True
[tex] \frac{1 \: yard}{3 \: feet} = \frac{x \: yard}{13 \: feet} [/tex]
3x = 13
[tex]x = \frac{13}{3} yards[/tex]
6+13+20...+(7n-1) Find the sum.
Answer:
2.5n+3.5n^2
Step-by-step explanation:
(6+7n-1)*n/2=2.5n+3.5n^2
Hey whats 2+2? i need to know ASAP! IM IN PRESCHOOL-
Answer:
lol Its 4
Step-by-step explanation:
Dont worry you got this
Answer:
=4
Step-by-step explanation:
2 + 2 = 4
1 + 1 = 2
1 + 3= 4
Hope this helps, have a nice day/night! :D
if it helps, please mark as brainliest!