Answer:
Future Value= $17,170.12
Step-by-step explanation:
Giving the following information:
Monthly deposit (A)= $70
Interest rate (i)= 0.04/12= 0.0033
Number of periods (n)= 15*12= 180 months
To calculate the future value (amount saved), we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
FV= {70*[(1.0033^180) - 1]} / 0.0033
FV= $17,170.12
To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x
A. The x^2
B. =
C. The - 4x
D. The 9
Answer:
To complete the square, we need to have the equation set up like this:
x^2 +4x =9
To do that, we'd need to move the 4x to the left side producing
4x + x^2 = 9
And that can be rewritten as
x^2 +4x =9
So the term that needs to be moved is -4x
https://www.1728.org/quadr2.htm
Step-by-step explanation:
find the complement of 63°
Answer:
63=90-63= 27
Bye
A woman buys a pair of shoes at a sale,
She pays $60. saving $15 on the regular
price. The percentage discount on the
shoes is
(A)
20
(B)
25
-
(C)
33
3
(D)
80
Answer:
20 %
Step-by-step explanation:
If she saved 15 dollars and paid 60, the original price was 60+15 = 75
The percent discount is (original - new) / original = ( 75-60)/75 = 15/75 = .2
Change to percent form = .2 * 100 =20%
Answer:
B.) 20 %
The percentage discount on the shoes is 20 % .
Step-by-step explanation:
Given :- A woman buys a pair of shoes at a sale . She paid $60 and saving $15 on the regular price.To Find :-The percentage discount on the shoesSolution. :-She pays 60 dollers and saved 15 dollers on the regular price.
original price of pair of shoes = 60 + 15 = 75
Percentage discount is = original price - new price / original price
= 75 - 60 / 75 = 15 / 75 = 0.2
Percentage discount = 0.2
Change into percentage =0.2× 100 = 20%
Therefore, the percentage discount on the shoes is 20 % .
the taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is 105 and for a journey of 15 km, the charge paid is 155. How much does a person have to pay for traveling a distance of 25 km?
Answer:
255
Step-by-step explanation:
total cost paid = fixed cost + total variable cost
total variable cost = distance travelled x variable cost per unit
two equations can be derived from the question
a + 10b = 105 equation 1
a + 15b = 155 equation 2
a = fixed cost
b = variable cost per unit
Subtract equation 1 from 2
5b = 50
b = 10
Substitute for b in equation 1
a + 10(10) = 105
a = 105 - 100 = 5
a = 5
cost of travelling a distance of 25km
5 + 10(25) = 255
Brainliest goes to whoever answers correctly
Answer:
1/9
Step-by-step explanation:
6/9 is 1/9th bigger than 5/9
Answer:
B
Step-by-step explanation:
6/9-5/9=1/9
5 exponent 3 · 5 exponent 8
needs to be in exponent form
WILL GIVE BRAINIEST
Answer:
[tex]5^{3}[/tex] · [tex]5^{8}[/tex] = [tex]5^{11}[/tex]
Step-by-step explanation:
when the bases are the same, add exponents
Renee has dimes and quarters in her wallet that total $1.60. She has 2 more dimes than quarters.
How many of each coin does Renee have?
Given:
Renee has dimes and quarters in her wallet that total $1.60.
She has 2 more dimes than quarters.
To find:
The number of each type of coins.
Solution:
Let x be the number of dimes and y be the number of quarters.
She has 2 more dimes than quarters. So,
[tex]x=y+2[/tex] ...(i)
We know that,
1 dime = $0.10
1 quarter = $0.25
Renee has dimes and quarters in her wallet that total $1.60. So,
[tex]0.10x+0.25y=1.60[/tex] ...(ii)
From (i) and (ii), we get
[tex]0.10(y+2)+0.25y=1.60[/tex]
[tex]0.10y+0.20+0.25y=1.60[/tex]
[tex]0.35y=1.60-0.20[/tex]
[tex]0.35y=1.40[/tex]
Divide both sides by 0.35.
[tex]y=\dfrac{1.40}{0.35}[/tex]
[tex]y=4[/tex]
Substituting [tex]y=4[/tex] in (i), we get
[tex]x=4+2[/tex]
[tex]x=6[/tex]
Therefore, the number of dimes is 6 and the number of quarters is 4.
A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready function tomorrow the situation. Determine the percent increase of the population of most of each month.
Answer:
[tex]y=120 * 1.1^x[/tex] --- function
The monthly rate is 10%
Step-by-step explanation:
Given
Let
[tex]x \to months[/tex]
[tex]y \to mice[/tex]
So, we have:
[tex](x_1,y_1) = (0,120)[/tex] --- Monday
[tex](x_2,y_2) = (1,132)[/tex] --- One month later
Required
The function
The function is represented as:
[tex]y=ab^x[/tex]
In [tex](x_1,y_1) = (0,120)[/tex], we have:
[tex]120 = a * b^0[/tex]
[tex]120 = a * 1[/tex]
[tex]120 = a[/tex]
[tex]a=120[/tex]
In [tex](x_2,y_2) = (1,132)[/tex], we have:
[tex]132 = a * b^1[/tex]
[tex]132 = a * b[/tex]
Substitute: [tex]a=120[/tex]
[tex]132 = 120 * b[/tex]
Solve for b
[tex]b = \frac{132}{120}[/tex]
[tex]b = 1.1[/tex]
So, the function is:
[tex]y=ab^x[/tex]
[tex]y=120 * 1.1^x[/tex]
To calculate the monthly rate (r), we have:
[tex]y =a(1 + r)^x[/tex]
Compare to: [tex]y =ab^x[/tex]
[tex]1 + r = b[/tex]
Make r the subject
[tex]r = b-1[/tex]
Substitute [tex]b = 1.1[/tex]
[tex]r = 1.1-1[/tex]
[tex]r = 0.1[/tex]
Express as percentage
[tex]r = 0.1*100\%[/tex]
[tex]r = 10\%[/tex]
The chart below represents the number of marbles in a jar. What is the probability of picking blue?
P(blue) =
Answer:
yes
Step-by-step explanation:
What is the solution to this system?
x - y = 6
y = 2x - 5
write an equation to show the relationship between a and c when a = b + 9 b = c - 2
Given:
The equations are:
[tex]a=b+9[/tex]
[tex]b=c-2[/tex]
To find:
The equation that show the relationship between a and c.
Solution:
We have,
[tex]a=b+9[/tex] ...(i)
[tex]b=c-2[/tex] ...(ii)
Equation (i) can be rewritten as:
[tex]a-9=b[/tex] ...(iii)
From (ii) and (iii), we get
[tex]a-9=c-2[/tex]
[tex]a-c=9-2[/tex]
[tex]a-c=7[/tex]
Therefore, the required equation is [tex]a-c=7[/tex].
Function p represents the number of people in the library on a Monday as a function of hours since the library opened.
Here is the graph of function p
Answer:
C (3rd choice)
Step-by-step explanation:
Domain (x-values):
We can see that there is a max number of 14 hours and a min. of 0 hours. This means that the domain is [0, 14]. Note that the domain would be in brackets (as opposed to parentheses) because the values are included in the data set. Since time works on a continuum, it can be reasonably concluded that all values should be included (e.g., 1.5 hours exists). Therefore, we would state that all numbers from 0 to 14 are valid in the domain.
Range (y-values):
We can see that there is a max of 85 people and a min. of 0 people. This means that the range is [0, 85]. Again, since the values 0 and 85 are both included in the data, the range is notated in brackets. Be mindful that there is no such thing as half person, so the range must only include whole numbers. That means this chart acts as a step-function.
Which product results in x^2-1
The diameter of this beach ball is 12 inches.
Apply the formula for the volume of a sphere to
determine how much air it can hold. Use 3.14159 or
the a button on a calculator. Round the answer to the
nearest hundredth.
4
Sphere V = ſ tem
How much air can the beach ball hold?
Answer:
904.78
Step-by-step explanation:
hello i give points!
Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
Answer:
i would say that the box plot will look somewhat in the middle between 18 and 36 with 36 being the largest and 18 as the smallest
the data will also wont have a major difference in them
hope this helps<3
Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode, she drove at a constant speed to get to the safe zone that was 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone. Let D(t) denote the distance to the safe zone D (measured in meters) as a function of time t (measured in seconds).
Which of the below formulas is the correct function's formula?
A. D(t) = -25t + 160
B. D(t) = 25t + 160
C. D(t) = -25t - 160
D. D(t) = 25t - 160
Step-by-step explanation:
A. D(t) = -25t + 160
this is the correct answer because if you substitute 3 you get 85
Mrs. Jones is planning a field trip to the state capitol building for all of the sixth graders at her school. She needs $3.75 to cover the cost of each student's lunch. There are 327 students attending the field trip. How much money does Mrs. Jones need to cover the cost of all of the students' lunches?
Answer:
= $1226.25
Step-by-step explanation:
There are 327 students
Each student lunch is $3.75
She needs 327 of these $3.75 lunches
So 327 times $3.75
= $1226.25
Which of the following is the value of a when the function f(x)=3|xl is written in the standard form of an absolute value
function?
Answer:
D = 3
Step-by-step explanation:
edge 2022
find the sum of this infinite geometric series.
HELP!!
The hall is a rectangle that measures 4m long by 90 cm wide what is the area
Step-by-step explanation:
the answer is 36000 cm2
please mark the brainliest
┻━┻︵└(՞▽՞ └)
A pet store has 115 fish that need to be placed into fish tanks. Each tank can hold 6 fish. How many tanks does the store need for the fish?
Answer:19
Step-by-step explanation: draw the tanks put 6 fish in each tank until you get all 115 in each tank
If AC = 28 meters and BC = 21 meters, what is the measure of angle C?*
A
B В
41.41
0 ОО
48.59
none of the other choices
0.99
Ο Ο
36.87
A grandfather clock that usually sells for $500 is selling at a 25% discount.
What is the sale price of the clock?
Answer:
$375
Step-by-step explanation:
Method I
25% = .25
500 * .25 = 125
500 - 125 = 375
-----------------------
Method II
1 - .25 = .75
500 * .75 = 375
A birthday hat in the shape of a cone has a diameter of 28cm and a height of 48cm. The radius is?
Answer:
14
Step-by-step explanation:
the radius is always half the diameter.
but i could be wrong ,beacause im not sure why they gave you the height.
Answer:
Radius is 14 cm
Step-by-step explanation:
To find the radius, you divide the diametre by 2
28 ÷ 2 = 14
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Have a great summer :)
Can someone help me out these problems !!!
Answer:
Zoom in more and I can help
Step-by-step explanation:
may I please have help from anyone thank you so much !
Answer:
Hello! answer:
largest volume: Rectangle C
smallest volume: Rectangle A
Step-by-step explanation:
Rectangle A: 120
Rectangle B: 160
Rectangle C: 224
Rectangle D: 189
Hope that helps!
APQR and ARST are shown.
S
R
R
Р
+
H
440
T
What is m TSR?
mZTSR = [1]
Answer:
∠ RST = 68°
Step-by-step explanation:
Since RT = ST then the triangle is isosceles with 2 base angles congruent
∠ RST = [tex]\frac{180-44}{2}[/tex] = [tex]\frac{136}{2}[/tex] = 68°
Plss help me with this equation
Answer:
x = 110 degree
Step-by-step explanation:
Hope this helps u !!
NEED HELP! Will give brainliest!!!
1) 2(x + 7)
2x + 14
2) 8 (x - 3)
8x - 24
3) -4 (y - 6)
-4y + 24
4) -5 (2x + 3)
-10x - 15
Help please
Identify the vertex and the y-intercept of the graph of the function.
y = 0.5(x – 3)²
Answer:
7
Step-by-step explanation:
