The interest rate which will save the most money if the balance on a loan from one month to the next is carried is the compound interest rate.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
While carrying the balance on a loan from one month to the next month, the compound interest rate is better, as it allows the funds to grow faster than the other rate mentioned.
Thus, the interest rate which will save the most money if the balance on a loan from one month to the next is carried is the compound interest rate.
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Bradley is 27 years older than Madison. Seven years ago, the sum of their age was 59. How old are they now?
Answer:
bradley is 50 and madison is 23
Step-by-step explanation:
m + 27 = b
(b - 7) + (m - 7) = 59
[(m + 27) - 7] + (m - 7) = 59
m + 20 + m -7 = 59
2m + 13 = 59
2m = 46
m = 23, b = 23 + 27 = 50
Find the slope given the coordinate points.
(12, 7) (-4, 2)
Answer as a fraction in reduced form.
Will mark brainliest if correct
A pennant flag that is 2 inches high with a base of 1.5 inches has an area of 1.5 square inches. The
area of a triangle varies jointly with the base and height. Find the area of a flag whose base
measures 2 inches and height is 2.5 inches.
Answer:
2.5 sq. inches
Step-by-step explanation:
Explanation is given in the pic attached.
Area of triangle= 1/2* base* height
Hope this helps!
The area of the flag when the base is 2 inches and the height is 2.5 inches is 2.5 square inches
From the question, we understand that the area (A) of the flag varies jointly with the base (B) and the height (H)
This variation is represented as:
[tex]\mathbf{A\ \alpha\ B \times H}[/tex]
So, we have:
[tex]\mathbf{A\ \alpha\ BH}[/tex]
Express as an equation
[tex]\mathbf{A\ =k BH}[/tex]
When the area is 1.5 square inches, the base is 1.5 inches and the height is 2 inches, we have:
[tex]\mathbf{A\ =k BH}[/tex]
This gives
[tex]\mathbf{1.5\ =k \times 1.5 \times 2}[/tex]
[tex]\mathbf{1.5\ =k \times 3}[/tex]
Divide both sides by 3
[tex]\mathbf{\frac 12 =k }[/tex]
Rewrite as:
[tex]\mathbf{k = \frac 12}[/tex]
When the base is 2 inches and the height is 2.5 inches, we have:
[tex]\mathbf{A\ =k BH}[/tex]
This gives
[tex]\mathbf{A = \frac 12 \times 2 \times 2.5}[/tex]
[tex]\mathbf{A = 2.5}[/tex]
Hence, the area of the flag is 2.5 square inches
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Can I get help please..................
Sara bought 3/4 of a pound of bananas and 3/5 of a pound of pears. How much fruit did Sara buy?
Answer:
27/20
Step-by-step explanation:
¾ + ³/5= 27/20. .......................
A new hotel was built with r rooms. The first weekend it was open, 3/5 of them were reserved. Which of the following expressions represents the number of rooms which were reserved?
A r-3/5
B r x 3/5
C r+3/5
D ÷3/5
Answer:
D ÷3/5 that's the answer i think I worked it out myself
3^4x-1=15
Need help with this log question
Answer:
x=16/81
Step-by-step explanation:
3^4x-1=15
81x-1=15
81x=15+1
81x+16
divide both sides by 81
x=16/81
A car drove 55 miles per hour for 8.2 hours and 75 miles per hour for 3.6 hours. How far did the car drive?
Answer:
Step-by-step explanation:
So at 38mph you are roughly traveling .6333 miles a minute. So 13 miles would take you roughly 8.2 minutes. How does one figure out this?
We know that there are 60minutes in an hour. We know you’re driving 38miles per hour. Dividing 38 by 60 gives you the miles per minute. Multiple that by how many miles you’re driving to get an estimate of the minutes it takes to drive those miles.
-4v - 5 = -53 help me please
Answer:
v=12
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-4*v-5-(-53)=0
Pull out like factors :
-4v + 48 = -4 • (v - 12)
Solve : -4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : v-12 = 0
Add 12 to both sides of the equation :
v = 12
To check yourself:
-4(12)-5 = -53
Answer: v = 12
Step-by-step explanation:
-4v - 5 = -53
add 5 to both sides
-4v = -48
divide both sides by -4
v=12
Simplify the expression using trigonometric identities: sec (–θ) – cos θ.
Answer:
sin θ . tan θ
Step-by-step explanation:
Note : -
sec ( - θ ) = sec θ
Formula / Identity : -
sec θ = 1 / cos θ
sec ( - θ ) - cos θ
= [ 1 / cos θ ] - cos θ
{ LCM = cos θ }
= [ 1 / cos θ ] - [ cos²θ / cos θ ]
= [ 1 - cos²θ ] / cos θ
{ 1 - cos²θ = sin²θ }
= sin²θ / cos θ
{ sin²θ = sin θ . sin θ }
= sin θ . sin θ / cos θ
{ sin θ / cos θ = tan θ }
= sin θ . tan θ
Hence, simplified.
Fred needs 410 game markers to play with his classmates and their families math night. He has 96 red markers, 123 blue markers, 106 yellow markers, and 72 green markers. Does he have enough game markers to play the game?
Answer:
No
Step-by-step explanation:
the reason why i said nonis cause 96+123+106+72=397 which means he still needs 13 more
Use logarithms to find the exact solution for 7(17^−9)−7=49.
What would the answer be
Answer:
B.
Step-by-step explanation:
process of elimination. the red dot is not a 1/4 of the number of lines, so it cant be 12.25, 13.625 is impossible because it has a value less than 13, and 12.625 is impossible as well because it has a value less than 12.5 therefore 12.375 is the best answer, and the only correct answer
How does insurance reduce social burden?
A. Insurance ensures that people don't have to pay high deductibles.
B. Insurance ensures that losses are not passed on to society.
C. Insurance ensures that lenders publicize rates and treat all
customers equally.
D. Insurance ensures that people are treated fairly in hiring and
employment decisions.
Answer:
c po is the correct aswer
Step-by-step explanation:
correct me if im wrong hope it's help
thanks
Answer:
B. Insurance ensures that losses are not passed on to society
Hope this helps :)
A bakery sells 1/2 dozen cookies for $6.48. At this rate, how much would it cost for 3 dozen cookies?
Numeros comprendidos entre 20
One, two, three, four, five, six, seven, eight, nine, ten, eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen, and nineteen/Uno, dos, tres, cuatro, cinco, seis, siete, ocho, nueve, diez, once, doce, trece, catorce, quince, dieciséis, diecisiete, dieciocho y diecinueve
help please!!!!!!!!!!!
Answer:
1/(xy)³
Step-by-step explanation:
The applicable rule of exponents is ...
a^-b = 1/a^b
_____
[tex](x\cdot y)^{-3}=\boxed{\dfrac{1}{(x\cdot y)^3}}[/tex]
6 Cyclist A travels 55 km in 2 hours and 20 minutes.
Cyclist B travels 135 km in 5 hours and 36 minutes.
Which cyclist is travelling faster?
cyclist a speed is d = v × t
so you can find velocity of a and b.
then compare them both.
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
PLEASEEEEE I BEG YOUUU 50 POINTS!!!!!!!~~~~~
Aubrey wrote a business plan for an entrepreneurship class, and now she has to make bound copies. Aubrey could use a printer who charges a setup fee of $38 and $3 for every copy printed. Another possibility is to go to the office supply store, where she could pay an up-front fee of $34 and $4 per copy. There is a certain number of copies that makes the two options equivalent in terms of cost. How much would the copies cost? How many copies is that?
Answer:
Copies cost for the first case = $ 12
Copies cost for the second case =$16
Number of Copies = 4
Step-by-step explanation:
Let the number of copies = N
. for the first case: total cost (T1) = 38 + 3N
. for the second case: total cost (T2) = 34 + 4N
Determine the ‘N’ when the cost is equivalent
So, 38 + 3N = 34 + 4N
38 – 34 = 4N – 3N
N = 4
Therefore, number of copies = 4
Copies cost for the first case = 3 × 4 = $12
Copies cost for the second case = 4 × 4 = $16
#1.
Set up fee=$38Cost per copy=$3Expression
[tex]\sf\longmapsto 38+3x[/tex]
#2
Set up fee=$34Cost per copy=$4Expression
[tex]\sf\longmapsto 34+4x[/tex]
Now
[tex]\sf\longmapsto 4x+34=3x+38[/tex]
[tex]\sf\longmapsto x=4[/tex]
There were 4copies
Use synthetic division to find the result when 3x^3 + 4x^2 - 5x - 2 is divided by x + 2
Check the picture below.
math help please :) thxx
Answer: 15 inches
Step-by-step explanation:
15 × 1 ÷ 12 = 1.25 ft
1.25 ft = 1.25 × 12 = 15 in
How many pounds are in 1 1/2 pounds and 8 ounces?
Answer:
2 pounds
Step-by-step explanation:
Because 8 ounces = 0.5 pounds
1.5+0.5=2
Express the number in scientific notation. 7/100
Answer: 7
×
10
−
2
Step-by-step explanation:
increase 400 in the ratio 3:5
Answer:
250.
Step-by-step explanation:
3 + 5 = 8. => (3/8) * 400 = 3 * 50 = 150. => (5/8) * 400 = 5 * 50 = 250.
The force in Newtons acting on a particle located x meters from the origin is given by the function F(x)=12x2+7. What is the work done in Joules when moving the particle from x=2 to x=5?
[tex]W = \displaystyle \int^{5}_{2} F(x) ~ dx\\\\\\= \displaystyle \int^{5}_{2} \left(12x^2 +7\right) ~dx\\\\\\= 12\displaystyle \int^{5}_{2} x^2 ~dx + \displaystyle \int^{5}_{2} 7~ dx\\\\\\=12 \left[\dfrac{x^3}3 \right]^{5}_{2} + 7\left[x\right]^{5}_{2}\\\\\\=4(5^3-2^3) + 7(5-2) = 468 + 21 = 489~ J[/tex]
Lin's family has completed 30% of a trip, they have travelled 45 miles. How far is the trip?
Answer:
2 hours
Step-by-step explanation:
Answer:
150 miles
Step-by-step explanation:
45/3=15
15*7=105 15*3=45
105+45=150
15*10=150
:)
slope of thissss
please help
-0.66
Step-by-step explanation:
can u mark me a brainliest
solve pls brainliest
Answer:
7
Step-by-step explanation:
19 increased by twice joses savings
Answer:
19 x 2 38 is ur answer to the problem
Which graph appears to show a linear proportional relationship between x and y?
A,B,C, or D
Answer:
Step-by-step explanation:
please help me completing square
x^²+2x-24=0
Answer:
Step-by-step explanation:
x² + 2x -24 = 0
delta = 2² - 4*1*(-24)
delta = 4 + 96
delta = 100
x' = (-2 + [tex]\sqrt{100}[/tex]) / 2*1
x' = (-2 + 10) / 2
x' = 8 / 2
x' = 4
x" = (-2 -10) / 2
x" = -12 / 2
x" = -6
