Answer:
4594.76 USD will be in the account on Burt's 18th birthday.
Step-by-step explanation:
Since interest rate is constant in time, we can use the definition of composite interest to determine how much money will be on Burt's 18th birthday, that is:
[tex]C = C_{o}\cdot \left(1+\frac{r}{100} \right)^{t}[/tex] (1)
Where:
[tex]C_{o}[/tex] - Initial amount, measured in US dollars.
[tex]C[/tex] - Current amount, measured in US dollars.
[tex]r[/tex] - Annual interest rate, measured in percentage.
[tex]t[/tex] - Time, measured in years.
If we know that [tex]C_{o} = 1250\,USD[/tex], [tex]r = 7.5[/tex] and [tex]t = 18[/tex], then the money in the savings account on Burt's 18th birthday is:
[tex]C = (1250\,USD)\cdot \left(1+\frac{7.5}{100} \right)^{18}[/tex]
[tex]C = 4594.76\,USD[/tex]
4594.76 USD will be in the account on Burt's 18th birthday.
A firm has a cash conversion cycle of 80 days, an average collection period of 25 days, and an average age of inventory of 70 days. Its operating cycle is ________ days.
Answer: 95 days
Step-by-step explanation:
Cash conversion cycle = 80 days
Average collection period = 25 days
Average age of inventory = 70 days
Then, operating cycle will be:
= Average collection period + Average age of inventory
= 25 days + 70 days
= 95 days
associative property 8×30
Answer:
I think you mean commutative property. 30 * 8
Step-by-step explanation:
This does not have parentheses around anything. To solve with commutative property switch the digits.
A model house has a scale of 3 cm : 6 m.
If the model house is 9 cm wide, then how
wide is the real house?
Find the value of x round to the nearest tenth FIRST ANSWER GETS BRAINIEST
Answer: answer is 19.2
a squared + b squared = c2
81 + 289 = 370
square root of 370 = 19.235
answer is 19.2
Answer:
Step-by-step explanation:
[tex]x = \sqrt{ {17}^{2} + {9}^{2} } = \sqrt{289 + 81} = \sqrt{370 } [/tex]=19.2
can someone please help explain this to me? i’ll give brainliest
Answer:
It's B/the 2nd one
Step-by-step explanation:
So first eliminate the third one because that says plus 4, the Y intercept is 3 so it has to be + 3 which leaves us we A, B, and D.
Then we can eliminate D, the slope is going downward, so it cannot be positive, and it's positive so that leaves us with A and B
The answer is B because of how steep the line is.
Question 12 (1 point)
If linel is parallel to line m, solve for x and name the angle relationship:
(9x - 33)
(5x + 3)
identify the domain and range of the function input 1,3,5,7 output 8,7,6,5
Answer:
Domain = 1,3,5,7
Range = 8,7,6,5
Step-by-step explanation:
We need to identify the domain and range of the function: input 1,3,5,7 output 8,7,6,5
Domain of function:
For any function domain is set of input values.
Range of function:
For any function range is set of output values.
So, for the given function we have : input 1,3,5,7 output 8,7,6,5
Domain = 1,3,5,7 (set of input values is domain of function)
Range = 8,7,6,5 (set of output values is range of function)
What is the slope of the line?
Answer:
Slope = 3/4
Step-by-step explanation:
sorry it’s late. Pls give brainliest.
Given the functionſ defined by the formula f(x) = 2x +1 find the following:
Answer:
f(4) is 9
f(-5) is -9
f(0) is 1
f(1/2) is 2
Which student consumed the most calories?
Mario
Tim
Kim
Kia
Answer: Kia
Step-by-step explanation:
Is linear or nonlinear?
Answer:
Linear
Step-by-step explanation:
what expression is equivalent to 5 to the -3rd power
Answer: 1/125
Step-by-step explanation:
Flip the exponent over into a fraction if it is to the negative power. Then do the same as you usually would to find out that it is 5^3 under a fraction.
Answer:
0.008
Step-by-step explanation:
that is what the internet said
The diagonals of rhombus ABCD intersect at E. Given that m∠CAD=20° and CE=4, find the m∠CDA.
Given :
The diagonals of rhombus ABCD intersect at E.
∠CAD = 20°.
To Find :
The angle ∠CDA.
Solution :
We know, diagonals of a rhombus bisects each other perpendicularly.
So, ∠DEA = 90°.
In triangle ΔEAD :
∠EAD + ∠AED + ∠EDA = 180°
20° + 90° + ∠EDA = 180°
∠EDA = 70°
Now, we know diagonal of rhombus also bisect the angle between two sides .
So, ∠CDA = 2∠EDA
∠CDA = 2×70°
∠CDA =140°
Therefore, ∠CDA is 140°.
Which equation describes a line with a slope of -1/2 that contains the point (-5, 2)?
A. x + 2y = 1
B. x - 2y = -1
C. x - 2y = 1
D. x + 2y = -1
Answer:
The equation x + 2y = -1 describes a line with a slope of -1/2 that contains the point (-5, 2) ⇒ D
Step-by-step explanation:
The slope of the linear equation of the form ax + by = c is m = [tex]\frac{-a}{b}[/tex] , where a and b are integersLet us use this rule to solve the question
The slope of the line is [tex]-\frac{1}{2}[/tex] and the line contains the point (-5, 2)
We want to find which equation has the same slope and contains the point
A.
∵ x + 2y = 1
∴ a = 1 and b = 2
→ Use the rule above to find m
∴ m = [tex]\frac{-1}{2}[/tex]
∴ The line has the same slope
→ Let us find if the line contains the point (-5, 2), by substituting x by -5
and y by 2 in the left side of the equation if the answer equals
the right side, then the line contains it
∵ L.S = -5 + 2(2) = -5 + 4 = -1
∵ R.S = 1
∴ L.S ≠ R.S
∴ The line does not contain the point (-5, 2)
B.
∵ x - 2y = -1
∴ a = 1 and b = -2
→ Use the rule above to find m
∴ m = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
∴ The line does not have the same slope
C.
∵ x - 2y = 1
∴ a = 1 and b = -2
→ Use the rule above to find m
∴ m = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
∴ The line does not have the same slope
D.
∵ x + 2y = -1
∴ a = 1 and b = 2
→ Use the rule above to find m
∴ m = [tex]\frac{-1}{2}[/tex]
∴ The line has the same slope
→ Substitute x by -5 and y by 2 in the left side
∵ L.S = -5 + 2(2) = -5 + 4 = -1
∵ R.S = -1
∴ L.S = R.S
∴ The line contains the point (-5, 2)
The equation x + 2y = -1 describes a line with a slope of -1/2 that contains the point (-5, 2)
the marked price of a radio is Rs 960 and the shopkeeper allows 10percent discount calculate the discount amount how much should a customer pay for it
Answer:
864 rs
Step-by-step explanation:
10% of 960 is 96
960-96=864
PLEASE HELP ILL GIVE BRAINLIEST!!
Answer:
y=-3x-1
Step-by-step explanation:
if you put it in pint slope form first and then simplify it is the easiest way.
y-2=-3(x+1)
y-2=-3x-3
+2. +2
y=-3x-1
What numbers are prime numbers?
Answer:
C
Step-by-step explanation:
all four numbers in c do not have any other factors other than 1 and itself. All quotients of the number are not whole numbers.
Can you find the slope and type the correct code?
Answer:
number 4 : m= -2
Step-by-step explanation
Simplify the fraction 44/77 as much as possible.
Answer:
4/7
Step-by-step explanation:
How much is left on the card after Carl has seen the maximum number of movies
Answer:
how much was on it and how many is the maximum movies
Step-by-step explanation:
Teri begins walking east at 2 miles per hour at 1:00 pm. If cindy leaves from the same point 30 minutes later walking east at 3 miles per hour, when will she catch teri
Answer:
One hour after starting
Step-by-step explanation:
Let Teri walk at a rate of 2 miles per hour in time , t + 0.5, since it is 30 minutes ahead and 30 minutes = 0.5 hours, the distance he moves is d = 2(t + 0.5). Also, since Cindy moves at a rate of 3 miles per hour, and starts at time t, the distance d' she moves is d' = 3t.
Now, when they catch each other, the distance moved is the same.
So, d = d'
2(t + 0.5) = 3t
expanding the brackets, we have
2t + 2 × 0.5 = 3t
2t + 1 = 3t
collecting like terms, we have
3t - 2t = 1
simplifying, we have
t = 1
So, Cindy will catch Teri one hour after starting.
Meghan earns 20.00 dollars by walking dogs. She uses all of her earnings to buy a shirt for 12.85 dollars and some stickers for 0.65 dollars each. How many stickers does she buy ?
Answer:
She bought 11 stickers
Step-by-step explanation:
20 - 12.85
7.15
then
7.15/0.65
11
Answer:
the answer is 11 :D
Step-by-step explanation:
Im not sure but please correct me if im wrong!
The area of a rectangle is represented by the expression 16m - 24. Which expression shows a factored version of the Area, one that shows the length and the width.
A | 8(2m+3)
B | 8(2+3m)
C | 8(2-3m)
D | 8(2m-3)
Answer:
The espression 8(2m - 3) shows the length and the width of the rectangle ⇒ D
Step-by-step explanation:
Let us find the greatest common factor of 16 and 24
∵ 16 = 1 × 16, 2 × 8, 4 × 4
∴ The factors of 16 are 1, 2, 4, 8, 16
∵ 24 = 1 × 24, 2 × 12, 3 × 8, 4 × 6
∴ The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
→ Find the common factors of 16 and 24
∵ The common factor of 16 and 24 are 1, 2, 4, 8
∵ The greatest one is 8
∴ The greatest common factor of 16 and 24 is 8
→ Take 8 as a common factor from 16m and 24
∵ 16m ÷ 8 = 2m
∵ 24 ÷ 8 = 3
∴ 16m - 24 = 8(2m - 3)
∴ The espression 8(2m - 3) shows the length and the width of
the rectangle
please answer (NOT A MULTIPLE CHOICE ANSWER)
In ΔOPQ, \text{m}\angle O = (6x-14)^{\circ}m∠O=(6x−14) ∘ , \text{m}\angle P =(2x+16)^{\circ}m∠P=(2x+16) ∘ , and \text{m}\angle Q = (2x+8)^{\circ}m∠Q=(2x+8) ∘ . Find \text{m}\angle Q.m∠Q.
Answer:
you are incorrect it is actually 107 degrees
Step-by-step explanation:
Please help me solve m<1 !!
Step-by-step explanation:
Sum of angles in a triangle = 180°
Hence Angle 1 = 180° - 24° - 37° = 119°.
Anyone? need help ASAP will mark as brainlist
Plz help will mark brainliest :)
(For both drop down menus)
A. An even
B. An odd
C. Neither an even nor an odd
Answer:
A.
Step-by-step explanation:
What function equation is represented by the graph?
f(x)=−4x−3
f(x)=1/4x−3
f(x)=−1/4x−3
f(x)=1/4x+3
Answer:
f(x)=1/4x-3
Step-by-step explanation:
y=mx+b
y-intercept is -3
-3=b
rise over round to find the slope
up 1 over 4
m=1/4
Move each point to the table to show what quadrant it is in when plotted on a coordinate plane.
Quadrant 1 Quadrant II Quadrant II Quadrant IV
(6,-1)
(-3,4)
(2,4)
(-1,-5)
Answer:
(-3,4) is the right answer i think im not sure nvm im positive that this is the right answer.........i think
Hi I need to figure if this is a function?
Answer:
no it is not a function
Step-by-step explanation:
function- for every input there is only one output
(1,7),(2,13),(3,13) it has two 13 so it is not a function
