Given:
Principal value of loan = $1,245
Rate of interest = 5%
To find:
The total amount that will be repaid if the loan described is paid in 2 years.
Solution:
The formula for amount is
[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]
Where, P is the principal, r is the rate of interest, t is the number of years.
Putting P=1245, r=5 and t=2, we get
[tex]A=1245\left(1+\dfrac{5}{100}\right)^2[/tex]
[tex]A=1245\left(1+0.05\right)^2[/tex]
[tex]A=1245\left(1.05\right)^2[/tex]
On further simplification, we get
[tex]A=1245(1.1025)[/tex]
[tex]A=1372.6125[/tex]
[tex]A\approx 1372.61[/tex]
Therefore, the total amount that will be repaid if the loan described is paid in 2 years is $1372.61.
Worth lots of points
What is the rule for the following geometric sequence? 64, -32, 16, -8
A: an=32(-1/2)^n-1
B:an=32(2)^n-1
C:an=32(1/2)^n-1
D:an=32(-2)^n-1
Find the measure of the missing angle *
Answer:
≈ 49.9° and ≈ 71.0°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{13}{17}[/tex] , then
? = [tex]sin^{-1}[/tex] ([tex]\frac{13}{17}[/tex] ) ≈ 49.9° ( to the nearest tenth )
----------------------------------------------------------------
Using the cosine ratio in the right triangle
cos? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{14}{43}[/tex] , then
? = [tex]cos^{-1}[/tex] ([tex]\frac{14}{43}[/tex] ) ≈ 71.0° ( to the nearest tenth )
Jake is rolling two dice and then finding the sum of the two results. What is the theoretical probability that he will have a sum greater than or equal to 9?
Helpppp pleaseeeee and could you put an explenation??? pleaseeee
Answer:
Step-by-step explanation:
The angles would be supplementary
45 + 5x + 35 = 180
5x + 80 = 180
5x = 100
x = 20
To find out why they are supplementary, refer to the transversal below
∠3 = ∠7 (corresponding angles)
∠8 = 180 - ∠7 (supplementary angles)
And since ∠7 = ∠3...
∠8 = 180 - ∠3 which is why (in the problem) those two angles are supplementary (adding to 180 degrees)
You earn 5000 with a annual raise of 250, how much will you earn in 3 years?
Answer:
5750
Step-by-step explanation:
5000+250=5250
5250+350=5500
5500+250=5750
Which section of the graph is decreasing?
Answer:
I would go with answer B
Step-by-step explanation:
The starting of the decreasing is B and slowly decreases down to C
Eva took a taxi from her house to the airport. The taxi company charged a pick-up fee of $3.20 plus $3 per mile. The total fare was $33.20, not including the tip
Answer: 10 miles
Step-by-step explanation:
You can set this up as an equation where x will represent the number of miles charged. So if we know how much the pick up fee is, how much it is per mile and the total charge we can set up the equation as follows:
3.20 + 3x = 33.20
If we solve for x we will find out how many miles she traveled. So to do so we need to get x on one side and the other numbers on the other side of the equal sign. So to begin we'll subtract 3.20 from both sides:
3x = 30.00
and then divide both sides by 3:
x = 10
So she traveled 10 miles.
The Taxi ride was 10 miles.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We can set an equation where x will represent the number of miles charged. So, the total charge we can set up the equation as follows:
3.20 + 3x = 33.20
If we solve for x we will find out the miles she traveled.
Then subtract 3.20 from both sides:
3x = 30.00
then divide both sides by 3;
x = 10
Therefore, she traveled 10 miles.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ3
what is the greatest common factor of 12 and 26
Answer:
2
Step-by-step explanation:
The greatest common factor is 2
Answer:
2
Step-by-step explanation:
2 is the greatest number that will go into both 12 and 26.
Hope this helps
- Please mark brainliest :)
HELP ME PLSS BRAINIEST
which function represents the data
There are 32 females in a dance recital. This is the ratio men to women 3:8. How many men are at the dance recital????
Answer:
12
Step-by-step explanation:
Answer:
there are 12 men
Step-by-step explanation:
men:3×4=12
woman:8×4=32
Choose the graph of the equation y=2.5x
Answer:
I think it's A( i edited)
Step-by-step explanation:
Bc at the end of the arrow on A it ends at 2.5 which fits the equation y=2.5x
Answer:
The answer is A.
Step-by-step explanation:
need to pass this class please help!
Answer:
a=65
Step-by-step explanation:
in a right angle theres 90 degrees.
90-25=65
Nirvany went on a 65,000 m hike. She divided the distance traveled evenly over 5 days. Approximately how many miles did Nirvany walk each day?
Answer:
13000m
Step-by-step explanation:
Given data
Total distance travelled= 65,000
Number of days= 5 days
Hence the distance covered per day is
= 65,000/5
=13000m
Therefore the distance covered per day is 13000m
What’s 3 square root of 8
Answer:
2
Step-by-step explanation:
[tex]\sqrt[3]{8} = 2[/tex]
Answer:
2
Step-by-step explanation:
THE answer is 2
2cube
=2x2x2
=8
Nora is a high school basketball player. How many points would Nora score in a game if she made 4 free throws (worth one point each) and 2 three point shots? How many points would Nora score in a game if she made x free throws and y three point shots?
Answer:
10
Step-by-step explanation:
4(1)+2(3)=10
Nora would score 10 and for x free throws and y three point shots x + 3y.
What is linear Equation?When graphed, a linear equation always produces a straight line because it is an algebraic equation with each term having an exponent of 1. It is referred to as a "linear equation" for this reason.
One-variable linear equations and two-variable linear equations exist.
Given
points on free throws = 1
points on 4 free throws = 4x1 = 4
and points on 2 three point shot = 2x3 = 6
total points are 4 + 6 = 10
and if she made x free throws then points are = 1x
and for y three point shots = 3y
total points for x free and y three point shots
x + 3y
Hence the points are 10 and x + 3y.
Learn more about linear Equation;
https://brainly.com/question/29739212
#SPJ2
There are seven nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter.
Answer:
3/13
Step-by-step explanation:
Here is the full question
There are seven nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then you randomly pick another coin. Find the probability that both coins are nickels.
Because there is no replacement, after you pick the first coin, the number of coins in your pocket becomes 13 and the number of nickels in your pocket becomes 6
probability that both coins are nickels = probability that the first coin is a nickel x probability second coin is a nickel
7/14 x 6/13 = 3/13
A group of friends went to lunch. The bill, before sales tax and tip was $35.55. A sale tax of 6% was added. The group then tipped 15% on the amount after the sales tax was added. What was the amount, in dollars, of the total cost?
Answer:
about $43.34 rounded to the nearest tenth
Step-by-step explanation:
First add 6% of 35.55 to 35.55
35.55x1.06=37.683
This is the price after tax
Next add the percentage of tax to 37.683
37.683x1.15=43.335
Rounded to the nearest cent and your final answer is $43.34
solutions for (x-1)(x+1)=0 range is -5 to 5
Answer:
x=1,x=-1
Step-by-step explanation:
You can seperate it for a better understanding of the equation: (x-1)=0, (x+1)=0. x=1,-1
One of the legs of a right triangle measures 6 cm and its hypotenuse measures 10 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
let base = 6cm
perpendicular =x cm
hypotenuse =10cm
by using Pythagoras law
hypotenuse ²=perpendicular ²+base²
10²=x²+6²
100-36=x²
x=√64=8cm
the measure of the other leg is 8cm
The measure of the other leg of the right triangle is equal to 8 cm.
Let the other leg of the right triangle be the opposite side.Given the following data:
Adjacent = 6 cmHypotenuse = 10 cmTo find the measure of the other leg, we would apply Pythagorean's theorem:
Mathematically, Pythagorean's theorem is given by the formula;
[tex]Hypotenuse^2 = opposite^2 + adjacent^2[/tex]
Substituting the given parameters into the formula, we have;
[tex]10^2 = opposite^2+6^2\\\\100= opposite^2+36\\\\Opposite^2=100-36\\\\Opposite^2=64\\\\Opposite=\sqrt{64}[/tex]
Opposite = 8 cm
Read more: https://brainly.com/question/14930619
The graph below shows Lisa's distance from her home (y), in miles, after a certain amount of time (x), in minutes:
Graph titled Lisas Distance Vs Time shows 0 to 10 on x and y axes at increments of 1. The label on x axis is time in minutes and that on y axis is Distance from Home in miles. Lines are joined at the ordered pairs 0, 0 and 1, 0.5 and 1.5, 1 and 2, 2 and 3, 2 and 4, 2 and 5, 3 and 6, 4 and 7, 5 and 8, 6.
Four students described Lisa's motion, as shown in the table below:
Student Description
Greg She drives at a variable speed for 2 minutes, then stops at a crossing for 2 minutes, and finally drives at a constant speed for the next 4 minutes.
Sam She drives at a variable speed for 2 minutes, then stops at a crossing for 4 minutes, and finally drives at a constant speed for the next 8 minutes.
Jane She drives at a variable speed for 2 minutes, then drives at a constant speed for the next 2 minutes, and finally drives at a variable speed for the next 4 minutes.
Pam She drives at a variable speed for 2 minutes, then drives at a constant speed for 4 minutes, and finally drives at a variable speed for the next 8 minutes.
Which student most accurately described Lisa's motion?
Greg
Sam
Jane
Pam
Answer:
Greg
Step-by-step explanation:
Greg shows the correct description of Lisa's distance vs time graph .
What does a straight horizontal line mean on a distance time graph?A horizontal line on a distance-time graph shows that the object is stationary (not moving because the distance does not change) A sloping line on a distance-time graph shows that the object is moving.
According to the question
Graph titled Lisa's Distance Vs Time shows 0 to 10 on x and y axes at increments of 1.
Lines are joined at the ordered pairs
(0, 0 )
( 1, 0.5 )
(1.5, 1)
(2, 2 )
( 3, 2)
( 4, 2)
(5, 3)
( 6, 4)
( 7, 5)
( 8, 6)
now , As per distance time graph points
(0, 0 ) to (2, 2 ) .shows She drives at a variable speed for 2 minutes,
(2, 2 ) to ( 4, 2) shows then stops at a crossing for 2 minutes, (horizontal line)
( 4, 2) to ( 8, 6) finally drives at a constant speed for the next 4 minutes.(straight line shows uniform motion)
Hence, Greg shows the correct description of Lisa's distance vs time graph .
To know more about distance time graph here:
https://brainly.com/question/19836052
#SPJ2
What is the solution of the system?
2x + 5y = 14
2 + 3y = 16
pls help
Answer:
x=-14/3,y=14/3 but if there is x at the second wan.then,x=19/2,y=-1
This is for algebra 1
Answer:
domain :- (-4, 1, 4,5)
Range:- (-3,0,0,2)
Step-by-step explanation:
Answer:
domain :- (-4, 1, 4,5)
Range:- (-3,0,0,2)
Hope this helps! :)
a^2-36=5a
A. {4,-9}
B. {5+√61/2, 5-√61/2}
C. No solution
D. {9,-4}
Answer:
D
Step-by-step explanation:
Given
a² - 36 = 5a ( subtract 5a from both sides )
a² - 5a - 36 = 0
Consider the factors of the constant term (- 36) which sum to give the coefficient of the a- term (- 5)
The factors are - 9 and + 4 , since
- 9 × + 4 = - 36 and - 9 + 4 = - 5 , then
(a - 9)(a + 4) = 0 ← in factored form
Equate each factor to zero and solve for a
a - 9 = 0 ⇒ a = 9
a + 4 = 0 ⇒ a = - 4
solution is { - 9, 4 } → D
1) The base of a 10-ft ladder stands 6 feet from the base of a house. Will the ladder reach 7 feet
high? Justify your answer.
10 ft
6 ft
PLEASE HELP!! URGENT!! Rubi tosses a quarter off the Main Street bridge into the St. John's River. The distance, in feet, the quarter is above the water is modeled by the equation -16t^2+96t+112d ( t ) = − 16 t 2 + 96 t + 112, where t represents time in seconds. How much time does it take for the quarter to hit the water?
Answer:
5
Step-by-step explanation:
there are four different categories / types of slope. write whether the slope is undefined, positive, negative, or zero.
Answer:
zero!
Step-by-step explanation:
Always remember up and down is undefind and side to side is 0!!
Pls need help thank you
Answer:
∠POM and ∠POR
Step-by-step explanation:
Step-by-step explanation:
angle POM and angle QRT
Jack earned $ 172,874 in 6 months. On an average, about how much did he earn each month?
Answer:
172,872÷6=28,812.33 I believe this is the answer
Would a prism with a volume of 36 be the same if built with centimeter cubes, inch cubes, or foot cubes?
Answer:
Yes
Step-by-step explanation:
It is given that a prism is built that have a volume of 36.
Now if the prism is rebuild with either centimeter cubes or the inch cubes or foot cubes will have the same volume of 36 as the volume here is constant. The centimeter cubes used to build the prism will be smaller in size and will require more of the cubes to build the cube for a volume of 36.
Similarly, if we take inch cubes or the foot cubes, to build a prism having a volume of 36, we need to take less number of the cubes accordingly.