Answer:
ECF and BCF (option 3)
Step-by-step explanation:
Complementary angles are angles that have degrees that add up to 90. From the picture, you can see that angle ECF and BCF put together form a right, or 90 degree angle, so that is your answer.
Hopefully this helps - let me know if you have any questions!
Julie earned a $1500 bonus at work for doing a good job. She placed part of the money in a regular savings account earning 2.5% annual interest. She placed the remaining amount in a money market account earning 5% interest annually. At the end of the year she earned four times more in the money market account than she did in the regular savings account. How much did Julie invest in the money market account at 5% interest? (Express your answer to the nearest dollar)
The amount of money Julie invested in the money market account at 5% interest is $600
How to find amount Julie invest in the money marketAccording to the question;
It follows that the total amount earned is; $1500. andLet, x and y be the initial allocated to savings and market account respectively, then;x + y = 1500
4 × (0.025 × x) = (0.05 × y)
Therefore;
x = y/2
Therefore, y + y/2 = 1500
2.5y = 1500
y = $600
and
x = $900
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In an effort to protect the environment, Steve is trying to get the citizens of his hometown, Yardley, to waste less water. A study indicated that they wasted 75,900 gallons of water last year and 44,022 gallons of water this year. What is the percent of decrease in the amount of water wasted yearly?
Answer:
42%
Step-by-step explanation:
Water wasted last year = 75,900 gallons
Water wasted this year = 44,022 gallons
Percentage decrease in the amount of water wasted yearly = (Water wasted last year - Water wasted this year) / Water wasted last year × 100
= (75,900 - 44,022) / 75,900 × 100
= 31,878 / 75,900 × 100
= 0.42 × 100
= 42%
Percentage decrease in the amount of water wasted yearly is 42%
Find the fourth term of infinite geometric sequence if the sum of the second and the third term is equal to 3 and the sum of the geometric sequence is equal to 8.
The Common Ratio is a rational number.
[tex]|q| \ \textless \ 1 \ \textless \ =\ \textgreater \ \lim q^n = 0\\=\ \textgreater \ S = \frac{a_{1}}{1 - r}\\S = 8\\a_2 + a_3 = 3\\a_4 = ?[/tex]
Answer:
do you have a picture of the problem
Step-by-step explanation:
Dana is planning on taking a two-year leave of absence from her job to pursue a graduate degree. What
balance does she need to have in an annuity that pays 2.4% annual interest in order to receive a monthly
payment of €2100? Give your answer correctly rounded to three significant figures.
Answer:
THATS DUMB BRUH WORK TO MAKE $$$$$$
Step-by-step explanation:
Ej bisects ZDEF, MZDEJ = 5x +7,
mZJEF = 8x – 8.
What is the measure of
Step-by-step explanation:
rx7cr7rctcc7ttc7tc7tv7g7tc7tf74fitc7rifrtxr8c74ci8yc8rdurxuec7rc3xurx4d63ufxufxits3663esufcitcitcitcitc8tct8
Please help if you know the answers!
Choose the equation and the slope of the line that passes through (4, -2) and
is perpendicular to the x-axis,
A. Equation; x = 4
B. Equation; x = -2
C. Slope undefined
D. Slope: 0
E. Equation: y = 4
F. Equation: y = -2
Answer:a,b,e,f
Step-by-step explanation:
How many numbers are 3 units away from 0?
Answer:
2
-3 and 3
these are the only numbers that are 3 numbers away from zero
Hope This Helps!!!
To practice for a competition, Kate swam 710 meters in the pool each day for 3 weeks. How many kilometers did Kate swim in those 3 weeks?
Answer:
14910 meters
Step-by-step explanation:
3 weeks= 21 days
each day= 710 m
21 days= 710*21
21 days= 14910 m
please help me
A. What is the formula for exponential growth?
B. What does each variable mean?
Answer:
a) f(x) = a(1 + r)x
Step-by-step explanation:
exponential growth or decay function is a function that grows or shrinks at a constant percent growth rate. The equation can be written in the form f(x) = a(1 + r)x or f(x) = abx where b = 1 + r.
Step-by-step explanation:
A. Exponential growth or decay function is a function that grows or shrinks at a constant percent growth rate. The equation can be written in the form f(x) = a(1 + r)x or f(x) = abx where b = 1 + r.
A patient has surgery for a knee replacement. Operating room charges $3,286.00, anaesthesia is $1,554.80, the charge for a hospital room for 3 days is $1,952.42 per day, medications total $1,297.59, and miscellaneous charges. THe insurance company pays $10,187.84. What is the balance the patient must pay.
Answer:
510.82 dollars
Step-by-step explanation:
Answer:
1807.81
Step-by-step explanation:
multiply 1952.42 by 3=5857.26
add the rest of the numbers=11995.65
subtract 10187.84=1807.81
If adam’s credit card has an apr of 14.63%, what is adam’s balance at the end of june? a. $629.42 b. $629.66 c. $627.27 d. $628.40
The balance in Adam's account at the end of June which has the credit card with an apr of 14.63% is $627.27.
What is monthly payment?Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.
The Adam’s credit card has an Apr of 14.63%,The table below shows his use of that credit card over three months.
Date Amount ($) Transaction Remaining Balance ($) 4/1 626.45 Beginning balance 626.454/10 37.41 Purchase 663.864/12 44.50 Purchase 708.365/3 65.50 Payment 642.865/16 24.89 Purchase 667.755/20 104.77 Payment 562.986/6 23.60 Payment 539.386/10 15.00 Purchase 554.386/14 51.85 Purchase 606.23For the purchase add the previous balance and for payment subtract the previous balance. I have mentioned another column for remaining balance in the above table.
The total of this transaction when multiplied with number of days, we get the total balance, 56498.48.
Now the monthly average balance is,
[tex]m=\dfrac{56498.48}{90}\\m=627.76[/tex]
Thus, the balance in Adam's account at the end of June which has the credit card with an Apr of 14.63% is near to $627.27.
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Adam’s balance at the end of June is $629.42.
What is the adjusted balance method?The adjusted balance method is an accounting method that bases finance charges on the amount(s) owed at the end of the current billing cycle after credits and payments post to the account.
Balance at the end of April = 626.45 + 37.41 + 44.50 = $708.36
Interest levied on $708.36= 708.36* (14.63/12) * 1/100
Interest levied on $708.36 = $8.64
So, balance on May 1st= 708.36+ 8.64 = $717
Balance at the end of May = 717-65.50+24.89-104.77 = $571.62
Interest levied on $571.62 = $571.62 * (14.63/12) * 1/100
Interest levied on $571.62=$6.97
So, balance on June 1st = $578.59
Balance at the end of June = 578.59-23.60 + 15+51.85 = $621.84
Interest levied on $621.84 = $621.84* (14.63/12) * 1/100
Interest levied on $621.84 =$ 7.58
So balance at the end of the june = 621.84 + 7.58 = $629.42
Therefore, Adam’s balance at the end of June is $629.42.
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What is the volume of this right cone?
384π cm^3
691π cm^3
1038π cm^3
2073π cm^3
Answer:
1206
Step-by-step explanation:
Our formula to find the volume: V = 1/3 πr² h
h = 8
r = 12
π · 12² · 8/3
⇅
1206
But within decimals form
1206.37158
What is the slope of the line going through (9,7) and (9,-4)
Answer:
undefined
Explanation:
look at the screenshots
Can anyone please help me
Answer:
6
Step-by-step explanation:
You have to separate the triangles into two, where you can compare short over long. DC = AB, so DC is the long side in the smaller triangle and AC is the shorter side. DC is similar to AC, and DE is similar to AB. Short over long side formula gives you [tex]\frac{x}{9} =\frac{4}{x}[/tex].
Cross multiply to get [tex]x^2=36[/tex]
Square root on both sides to get [tex]x=6[/tex]
what is the basic numbers of pi
Answer:
3.14
Step-by-step explanation:
Answer:
3.14
Step-by-step explanation:
Your welcome if I helped plz add me as brainiest!
R is the midpoint of PQ. PR = 6x + 7 and RQ = 3x + 8, find the length of PQ.
Answer:
PQ = 18
Step-by-step explanation:
If R is the midpoint of PQ, then PR = RQ
⇒ 6x + 7 = 3x + 8
⇒ 3x = 1
⇒ x = 1/3
So PR = 6x + 7 = 6(1/3) + 7 = 9
and RQ = 3x + 8 = 3(1/3) + 8 = 9
⇒ PQ = PR + RQ = 9 + 9 = 18
Write an equation for the situation:
A number x decreased by 8 is the same as 20.
Answer:
x - 8 = 20
Step-by-step explanation:
6 friends go to the movies. Tickets cost $12 and each person buys popcorn. They spend $156 altogether. Write and solve an equation to find the cost of one p, popcorn. Be sure to include the equation as part of your answer.
Answer:
p = 14
Equation:
[tex]156=12x+6p[/tex]
Step-by-step explanation:
Set up the equation:
Let x = # of friends that went to the movies
Let p = cost of 1 popcorn
[tex]156=12(6)+6p[/tex]
[tex]156=72+6p\\84=6p[/tex]
Divide both sides by 6
[tex]p=14[/tex]
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3 workers can do a job in 28 hours. How many more workers are needed to do this job in 12 hours?
Answer:
7 workers
Step-by-step explanation:
[tex]\frac{workers first time}{workers second time} = \frac{hours second time}{hours first time}[/tex]
[tex]\frac{3}{x} = \frac{12}{28}[/tex]
cross multiply and it becomes
12x = 3x28
12x = 84
x = 84/12
x = 7 workers
Answer
4
Step-by-step explanation:
3/28=x/12
that is 7 and you need to find how many more workers so you subtract
7-3=4
solve the following proportion n-5/10 = n+4/2
Answer:
n = -25/4
Step-by-step explanation:
(n - 5)/10 = (n + 4)/2
10(n + 4) = 2(n - 5)
5(n + 4) = n - 5
5n + 20 = n - 5
4n = -25
n = -25/4
The function h(x) shown is the result of adding two
functions, f(x) and g(x).
Which statement could be used to describe the
functions?
y
2
2
O Both original functions have a domain of (-00,00).
O Both original functions have a domain of [-co, 2).
O The domain of f(x) is [2,00), while the domain of g(x)
is (-0,2).
The domain of f(x) is (-0, 2], while the domain of g(x)
is [2,00)
-10 -8 -6
4
6
8
10
-2.
-6
-8
-10
-12
14
16
Answer:
The domains of both f(x) and g(x) must be (–∞, ∞).
Step-by-step explanation:
-Ash
:p
The both original functions have a domain of ( -∝ , ∝ )
What are domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) is a parabolic function where the domain of the function ranges from
And , domain of a parabolic function is all real numbers, which means that the function is defined for every possible input value
Hence , the domain is ( -∝ , ∝ )
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A used car salesperson receives a commission of 1/12 of the sale price for each car he sells would would be sales commission on a car that sold for 15,656
Answer: The commission would be $1304.66
Step-by-step explanation: Multiply the commission rate times the sale amount.
15656 × 1/12 is the same as 15656÷12
Explain how you can multiply 4($5.97) without paper or calculator by thinking of $5.97 as 6−0.03 and then using the distributive property.
Answer:
you can can answer with mental math
for ex. 4 x 97 can be broken into 4 x 7 + 4 x 9
and the 5 dollars could be 4 x 5 add them up and your answer should be right
By using distributive property of multiplication over subtraction we got 4 (5.97) = 23.88 without actually multiplying 4 (5.97) .
What is distributive property of multiplication?This property states that when a number is multiplied by addition/subtraction of two number is same as multiplying this number with both the numbers individually and then adding/subtracting them.
let a, b, c are three numbers then distributive property of multiplication can be stated as :
a×(b ± c) =(a× b) ± (a ×c)
For Multiplying 4($5.97)
Write 5.97 = 6 -0.03
4 (5.97) = 4* ( 6 -0.03) = (4*6) -(4*0.03) (using distributive property)
⇒(4*6) -(4*0.03) = 24 - 0.12 = 23.88
Therefore without actually multiplying 4 (5.97) we got 4 (5.97) = 23.88 by using distributive property of multiplication over subtraction.
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Find the product of 6.23 and 9.3 .
Answer:
57.939
Step-by-step explanation:
6.23 x 9.3 = 57.939
Hope this helps :)
Answer:
The answer is approximately 57.94
Step-by-step explanation:
When you are asked to find the product of something, it means to multiply.
Sum=addition Difference=subtraction Product=multiplication Quotient=division
Hope that helps!
I really need some help. Serious and correct answers please I appreciate it.
Answer:
A. You need to draw a straight line that increases from left to right. Try and get the same amount of plots on the top and bottom of the line and go through one or two of the plots. Don't connect the dots, though.
B. This scatter plot demonstrates a positive association between a person's height and weight because the trendline increases from left to right. According to this data, as weight increases, so does height. The more someone weighs, the more likely they are to be tall.
77x10= what 10 x77 77x10
Answer: 770
Step-by-step explanation:
It would= 10 x 77 and 77 x 10 it=770 because you always add a zero like this.
7 x 10=70
70 x 10=700
700 x 10=7,000
7,000 x 10=70,000
Or another example take 8
8 x 10=80
8 x 100=800
8 x 1,000=8,000
8 x 10,000=80,000
Hope it helps have a great day:)
2, 20, 4, 40, 8, 80, 16,
what’s the pattern
Answer:
each one digit number is becoming a ten digit number
Step-by-step explanation:
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If
2
7
of the drink is apple juice and
1
2
is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.
need help with thiss
All sides are equal
Perimeter=Sum of sides
[tex]\\ \sf \Rrightarrow 5(6s^5t-t^3)[/tex]
[tex]\\ \sf \Rrightarrow 30s^5t-5t^3[/tex]
help please please help me
Answer:
It should be -1
Step-by-step explanation:
Since y=f(x) and f(x)=2, then you're y=2. So you just have to find (?,2).