Answers
there are 4 quarters per year
if annual rate = 8%
quarterly rate would be 8%/4 = 2%
so the (1+r) beomes (1+0.02) = 1.02
Related Questions
The formula for the perimeter of a square is p = 4s, where s is the length of a side. find the perimeter of each square.
Answers
find the perimeter of the triangle
Answers
bh/2
3*8/2
12
bh/2
2*4/4
4
12 - 8
4 unit²
To find the perimeter:
a² + b² = c²
9 + 64 = c²
73 = c²
√73 = c
√73 + 3 + 8 + 2 + 4
√73 + 17
Hope this helps!
Good luck in your math homework:)
0.008 is 1 tenth of what decimal
Answers
Write the equation of the line in standard form when the slope is -7 and the line goes through
(-2, 5). Graph the line.
Answers
So all we need to do is input them in!
(y-5)=-7(x+2)
Some explanations here:
Why is the 5 and 2 in those places? Why aren't they backwards?
That is because the x number should always go with the x variable and the same with y.
Why is 2 positive?
It is very hard to explain, but the number becomes a positive when the number is negative. It's just how it works. Ask Einstein.
The quotient of 4 and the difference of an integer and 3 is the same as two-thirds. Find the integer.
Answers
Solution:
4/(x-3)= 2/3
12 = 2x-6
18=2x
x= 9
Math Natalia Gonzalez You already owed your friend $6. This morning you borrowed $4 more and this afternoon you paid back $8. How much money do you owe your friend?
Answers
Hi!!
The answer is 2!
Fun fact,my name is Natalia Gonzalez too!!
But
6+4=10
10-8= 2
Hope this helps ya
Patty is, right now, 3 times as her brother Terry. in 10 years, the sum of their age will be 36. how old are they right now? show your work.
Answers
In 10 years (year z) the sum of their age will be 36
36-20=16
(Twenty being ten years gained for each of them)
16 is now the sum of their age in year x
The following are options for the ages they could possibly be
1-15 (1*3 does not equal 15)
2-14(2*3 does not equal 14)
3-13(3*3 does not equal 13)
4-12(4*3 equals 12)!!!!
5-11(5*3 does not equal 11)
6-10(6*3 does not equal 10)
7-9 (7*3 does not equal 9)
8-8(8*3 does not equal 8)
Therefore the answer would be:
Patty is 22 and his brother is 14
Patty is 12 years old, and Terry is 4 years old. After setting up an equation based on their ages now and in 10 years, we determine that Terry is 4, and since Patty is three times as old, she is 12.
The problem presented is a typical age-related algebraic question. To solve it, we can set up equations based on the information given. Let's define Patty's current age as 3T, where T represents Terry's current age. In 10 years, Patty will be 3T + 10 and Terry will be T + 10. According to the problem, the sum of their ages in 10 years will be 36. So, we can write the following equation:
3T + 10 + T + 10 = 36
Solving this equation:
Combine like terms: 4T + 20 = 36Subtract 20 from both sides of the equation: 4T = 16Divide both sides by 4 to find Terry's age: T = 4With Terry's age being 4, Patty's current age is 3 times Terry's age, which means Patty is 3 × 4 = 12 years old. So, Patty is 12 and Terry is 4 years old right now.
A gardener buys a plant that is 12cm in height. Each week after that the plant grows 10cm. Note: The plant is 12cm high at the beginning of the week.
what is the formula and value for t10 and t12 in an arithmetic sequence????
Answers
formula = height = 12+10t
where t = number of weeks
so for t10
height = 12+10(10) = 12+100 = 112 cm
for t12
height = 12+10(12) = 12 +120 = 132 cm
what property is illustrated by this problem 2(3 + 4) = 2x 3 +2 x 4
Answers
Question 1 (3 points) study the Proof Given.
List the reasons for Items 2,3, & 4.
Right the number and then the answer.
Question 2 (3 points
)Study the Proof: Give the reasons for the missing reason. List the number and then state the reason.
Answers
2. Definition of midpoint
3. Given
4. Transitive Property
Question 2
1. Given
2. Addition Property of Equality
3. Segment Postulate Property.
With regard to mathematics, what is an accepted statement of fact that is used to prove other statements
Answers
The circumference of a circular field is 295.16 yards what is the radius of the field use 3.14 for pi and do not round your answer
Answers
295.16 = 6.28 x radius
295.16 / 6.28 = radius
47 = radius
The radius of circle is 47 yards.
What is Circumference of circle?The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area. The length of a straight line drawn from the centre of a circle equals the diameter of that circle. It is typically expressed in units like cm or unit m.
The radius of the circle is considered when applying the formula to determine the circumference of the circle. Therefore, in order to calculate the circle's perimeter, we need to know the radius or diameter value.
Given:
Circumference of circle= 295.16 yards
Now,
circumference of circle= 2πr
295.16= 2 x 3.14 x r
295.16 = 6.28 x r
r = 295.16/ 6.28
r = 47 yards.
Hence, the radius of circle is 47 yards.
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one dozen eggs cost 1.98$. How much does 1 egg cost? ( round to the nearest cent )
Answers
So, $1.98 divided by 12 = .165 There is a 5 so you would round it up to 17 cents.
The cost of one egg is $0.165.
Given that, one dozen eggs cost 1.98$.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, cost of 1 egg = Cost of one dozen eggs ÷ 12
= 1.98/12
=0.165
Therefore, the cost of one egg is $0.165.
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Explain how the energy of a toy car is transformed as it slides down a ramp. Give evidence that the energy of the car remains the same at all points on the ramp.
Answers
Answer:
as the car slides down the ramp it is in kinetic energy and when it is on the top of the ramp it is on potential energy we see that the energy is being transferred
A painter charges an initial fee of $50 and $30 for each hour of labor. Write a linear function to determine the total cost. How much will it cost if the painter takes 4.5 hours to paint?
Answers
The slope is m = 30 because each increase of 1 hour leads to the cost bumping up by 30 dollars. In other words, slope = rise/run = (change in cost)/(change in hours) = 30/1
So we plug m = 30 and b = 50 into the y = mx+b formula to get y = 30x+50
Replace y with f(x) to get f(x) = 30x+50
The linear function for the cost is f(x) = 30x+50
Note: Some books may use other letters (instead of x and f(x)), but the idea is still the same
Once you know the cost function, you replace x with 4.5 to find the amount it will cost to have a painter work for 4.5 hours.
f(x) = 30x+50
f(4.5) = 30*4.5+50
f(4.5) = 135+50
f(4.5) = 185
It will cost 185 dollars to have the painter work for 4.5 hours
How to solve 3d+8=2d-17
Answers
d + 8 = - 17
d = - 25
The value of d for the expression 3d + 8 = 2d - 17 is -25.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
3x = 4 is an equation.
2x = 4 is an equation.
We have,
3d + 8 = 2d - 17
3d and 2d are like terms.
So,
keep like terms on one side.
3 - 2d = -17 - 8
d = -25
Thus,
The value of d is -25.
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The quotient of a number and five increased by four is sixteen answer
Answers
Answer: [tex]\dfrac{x}{5}+4=16\\\\and\\\\x=60[/tex]
Step-by-step explanation:
Since we have given that
The quotient of a number and five increased by four is sixteen a
Let the number be 'x'.
The quotient of a number and five is written as
[tex]\dfrac{x}{5}[/tex]
And it is increased by 4 is written as
[tex]\dfrac{x}{5}+4[/tex]
And the equation is equal to 16.
[tex]\dfrac{x}{5}+4=16[/tex]
And the solution would be
[tex]\dfrac{x}{5}+4=16\\\\\dfrac{x}{5}=16-4=12\\\\x=12\times 5\\\\x=60[/tex]
Hence, [tex]\dfrac{x}{5}+4=16\\\\and\\\\x=60[/tex]
If the value of x decreases by 6, how does the value of m(x + 9) change?
Answers
decreases by 6cm
It snowed 4 times during October. The snowfall amounts were 0.75 inches, 1.93 inches, 4.73 inches, and 2.33 inches. What was the total snowfall for October?
Answers
The total snowfall for October was 9.74 inches. Adding the snowfall amounts of 0.75, 1.93, 4.73, and 2.33 inches resulted in this sum.
Let's break down the calculation step-by-step:
Identify the given snowfall amounts for October:
The snowfall amounts are 0.75 inches, 1.93 inches, 4.73 inches, and 2.33 inches.
Add up the snowfall amounts to find the total:
Total snowfall = 0.75 inches + 1.93 inches + 4.73 inches + 2.33 inches.
Perform the addition
Total snowfall = 9.74 inches.
The total snowfall for October was 9.74 inches. This result is obtained by adding all four individual snowfall amounts together.
So, the calculation in step-by-step form is as follows:
0.75 + 1.93 + 4.73 + 2.33 = 9.74 inches.
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A given cube has a volume of 1728 cubic inches. Find the length of an edge, area of one side, surface area, and surface area in square feet.
Answers
v=s³
SA=6s²
area of 1 side=s²
s=length of 1 edge
so
1728=s³
cube root both sides
12=s
length of an edge is 12in
the area of one side is 12² or 144 in²
surface area is 6s² or 6(144) or 864 in²
A given cube with a volume of 1728 cubic inches:
Find the length of an edge:The edge length (s) can be found using the formula for the volume of a cube: s³ = 1728. Therefore, s = 12 inches.Find the area of one side:
Each face of the cube is a square, so area of one face = s² = 12² = 144 square inches.Find the surface area:
Total surface area = 6 * (area of one face) = 6 * 144 = 864 square inches.Find the surface area in square feet:
To convert square inches to square feet, divide by 144 (since 1 square foot = 144 square inches). Therefore, surface area in square feet = 864 / 144 = 6 square feet.
NEED HELP BADLY PLEASEEEE WILL GIVE BRAINLY
List the next three terms in the following sequence:
1, 2, 4, 8, 16, 32,...
a. 48, 80, 128
b. 64, 96, 160
c. 64, 128, 256
d. 46, 92, 184
Answers
What value of c makes the trinomial below a perfect square x2 + 10x + c?
Answers
x² + 10x + c
calculate the discriminant Δ = b²-4ac a = 1 b = 10 c = c
Δ = 10²-4c
the trinomial below a perfect square when : Δ = 0
10² -4c = 0
4c = 10²
c= 25
x²+10x+25 = x² +2(5)x+5² = (x+5)²
Steven investigates the amount of damage to the head gaskets on the trucks in his fleet and finds that the damage index depends on the ambient temperature. He develops the equation y = - 2 3 x + 14 to model the relationship. If the temperature increases 1 degree, what happens to the damage index for the head gasket?
Answers
Answer:
d
Step-by-step explanation:
The second side of a triangular deck is 3 feet longer than the shortest side and a third side that is 3 feet shorter than twice the length of the shortest side. if the perimeter of the deck is 68 feet, what are the lengths of the three sides?
Answers
The perimeter of a triangle is:
P = a + b + c
We are given that:
b = a + 3
c = 2 a – 3
Therefore:
68 = a + a + 3 + 2 a – 3
68 = 4 a
a = 17
and,
b = a + 3 = 20
c = 2a – 3 = 31
The shortest side of the triangle measures 17 feet.
The second side of the triangle measures 20 feet.
The third side of the triangle measures 31 feet.
What is the length of the three sides?The perimeter of a triangle is the sum of the length of the three sides of the triangle.
Let the shortest side be represented with s.
The second side = 3 + s
The third side = 2s - 3
2s - 3 + 3 + s + s = 68
4s = 68
s = 17
The second side = 17 + 3 = 20
The third side = = (2 x 17) - 3 = 31
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Simplify 81.56 + n - 2.55.
A)79.10 - n
B)79.01 + n
C)81.56 - 2.55n
Answers
B) 79.01 + n
I hope this helps! :)
six times the reciprocal of a number equals 2 times the reciprocal of 6. find the number.
Answers
6(1/x) = 2(1/7)
-----
6/x = 2/7
-----
2x = 42
x = 21
6/x = 1/3
6/x*1/6 = 1/3*1/6
x= 1/18
the number is 18
Determine if f is a linear or nonlinear function and if f is a constant function.
Answers
function is linear when are the form : y = ax +b
function is linear constant are the form : y = b
Noel Devine bought a new dishwasher for $320. He paid $20 down and made 10 monthly payments of $34. What actual yearly interest rate did Noel pay?
A. 14.55%
B. 29.09%
C. 34.38%
D. 68.75%
Answers
Solution:
Cost price of Dishwasher bought by Noel Divine = $ 320
Down payment = $ 20
Amount given in one installment= $ 34
Total Amount paid in 10 Installment = $34 ×10=$ 340
Total amount paid for Dishwasher by Noel Divine = $340 + $ 20 = $ 360
Interest paid by noel = $ 360 - $ 320= $ 40
As the interest will be simple interest
Simple interest =[tex]\frac{Principal \times \text{time} \ \text{rate}}{100}[/tex]
40=[tex]\frac{320 \times R \times \frac{10}{12}}{100}[/tex]
R= [tex]\frac{48000}{3200}[/tex]=15% →→Option A
Given f(x) = x − 7 and g(x) = x2 . Find g(f(4)). g(f(4)) =
Answers
Hey!
Hope this helps...
~~~~~~~~~~~~~~~~~~~~~~
To solve this we will first find out what f(x) equals at the given point of 4, and than substitute that answer it for g(f(4))...
f(x) = x - 7
f(4) = 4 - 7 = -3
g(f(4)) = (x - 7)^2 > -3^2 = 9
So...
The answer is: g(f(4)) = 9
Answer: 9
Step-by-step explanation:
235+374= use rounding or compatible numbers to estimate the sum
Answers
round to hundreds: 200 + 400 = 600
hope this helps