Answer:
[tex](7 \times 2 + 8) - ( {x}^{2} - 2) \\ (14 + 8) - ( {x}^{2} - 2) \\ 14 + 8 - {x}^{2} + 2 \\ 22 + {x}^{2} + 2 \\ 24 + {x}^{2} [/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
Hw
EXERCISE solve the following problems
? Rhonda had to draw the lines of symmetry in the parallelogram below
She drew this:
Was she correct?
Yes No
shape
Explain your answer
How many lines of symmetry are
in the 5-pointed star to the right?
raw the lines of symmetry
If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year, how much will it be worth in 2020?
A) $10,562.50
B) $1718.33
C) $6732.90
D) $5385.10
Answer:
D) $5385.10
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the decay of an amount after t years is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year
This means that [tex]A(0) = 12500, r = 0.155[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 12500(1-0.155)^t[/tex]
[tex]A(t) = 12500(0.845)^t[/tex]
How much will it be worth in 2020?
2020 is 2020 - 2015 = 5 years after 2015, so this is A(5). So
[tex]A(5) = 12500(0.845)^5 = 5385.10[/tex]
The correct answer is given by option D.
the landscaper uses 4 bags of topsoil to cover 3/8 of the garden. how many bags of topsoil will he need to buy to cover the whole garden
I'll try to give Brainlyest please help!!
Answer:
D. 2r = 16
Step-by-step explanation:
r/2 = 16, r=32
8= r/8, r=64
4r=16, r=4
2r=16
/2 /2
r=8
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
-8x+8=-6x+20 and x= -6
Step-by-step explanation:
Reason to equation:
This image shows alternative interior angles.
Alternative interior angles are congruent to each other.
How to find x:
-8x+8=-6x+20
We subtract 8 from both sides
-8x=-6x+12
We add 6x to both sides
-2x=12
We divided -2 from both sides
-2x/-2x = 12/2
Leaving us with x=-6
Which of the following sequences is an arithmetic sequence? Select all correct answers.
Select all that apply:
1,2,3,4,5,6,…
5,0,−5,−10,−5,0,…
−4,−6,−8,−10,−8,−6,…
3,0,−3,−6,−9,−12,…
6,5,4,3,2,1,…
Answer:
1st, 4th and 5th are in arithmetic sequence.
Answer:
a) 1,2,3,4,5,6............
d) 3,0, -3 ,-6,-9,-12.............
e) 6,5,4,3,2,1...........
are arithmetic sequence
Step-by-step explanation:
Arithmetic sequence is series of numbers that the difference of consecutive terms is constant
a) 1, 2 , 3 , 4 , 5 , 6...........
Common difference = 1
d) 3,0, -3 ,-6,-9,-12.............
Common difference = second term - first term
= 0 - 3 = -3
e) 6,5,4,3,2,1...........
Common difference = 5 - 6 = - 1
Need help only on 9 and11 thank you don’t know really how to do
غف8ىرف4-
ف8غ4ى0ض8رص90
Julie had 3 1/3 cups of flour. A brownie recipe called for 2 2/3 cups of flour. If Julie made one batch of brownies, how much flour did she have left over?
Answer:
2/3
Step-by-step explanation:
3 1/3-2 2/3= 2/3
please help me i will mark brainliest! :D
Answer:
19.50
Step-by-step explanation:
If the scarf is 25% off, you have to pay 100% -25% = 75%
26 *75%
26 *.75
19.5
what is 20 x 3-4 + 80 / 988 + 444444 x 343
A model rocket builder moved 50 feet away from the base before launching his model rocket straight up in to
the air. The rocket reached its maximum height when the angle of elevation from the observer was 84 degrees.
What is the maximum height reached by the rocket?
Answer:
tan(84)=x/50
please mark as brainliest
Please tell me please
Answer:
C
Step-by-step explanation:
It is one whole shaded diagram (100%) and half of the diagram (50%), making 150%
Answer:
a or c
Step-by-step explanation:
Let f(x)=3(12)x+1. Which is equal to f(1)?
Answer:
just substitute the value of x as 1
f(x)=3(12)x+1
f(1)=3(12)(1)+1
f(1)=3(12)(1)+1
f(1)=36+1
f(1)=37
You deposit
$
6500
into an account paying
8
%
annual interest compounded monthly. How much money will be in the account after
7
years?
Use the formula A = p(1 + r/n)^(nt).
Here is the set up:
A = 6500[1 + (0.08/4)]^(4•7)
Solve for A.
Can you help thanks!
Answer:
y = 3x + 41
Step-by-step explanation:
First, lets set up the slope-intercept form equation, that is...
y = mx + b
m = slope
b = y-intercept
because the y-intercept is a positive value, it cannot be y=-3x-41 or y= 3x-41
now, we know that b = 41, but what is the slope?
Well, here are tips for doing slope
if the line is gradually increasing upwards, then it is a positive slope
if the line is gradually decreasing downwards, then it is a negative slope
because the line in the picture is positive, this proves y=-3x+41 wrong, therefore making y = 3x + 41 the only correct answer
Therefore, your correct answer is y = 3x + 41
7-3 Multiplying Binomials
Write a polynomial in standard form for the volume of the rectangular prism shown.
5x+1
3x - 4
X+2
Answer:
Step-by-step explanation:
Use FOIL method.First multiply (5x + 1) and (3x - 4). Then multiply (15x² - 17x - 4) by (x +2)
Volume of the rectangular prism = length *width * height
= (5x + 1) (3x -4)(x +2)
= [ 5x*3x + 5x*(-4) + 1*3x + 1*(-4) ] (x + 2)
= [15x² - 20x + 3x - 4] (x +2) {Combine like terms}
= [15x² - 17x - 4] (x + 2)
=[15x² -17x - 4]*(x) + [15x² - 17x -4]*2
= [15x²*x - 17x*x - 4*x ]+ 15x²*2 - 17x *2 - 4*2
= 15x³ - 17x² - 4x + 30x² - 34x - 8
= 15x³ - 17x² + 30x² - 4x - 34x - 8 {Combine like terms}
= 15x³ + 13x² - 38x - 8
Igor, whose eye height is 4.5 ft., wishes to find the height of an oak tree out in front of his castle. He places a mirror on the ground between himself and the tree. He is now 5.5 feet away from the center of the mirror and the mirrors is 70 feet from the tree. What is the height of the oak tree in front of Igor´s castle?
Please this is due in 15 minutes
Sue needs 1/3 of a cup of flour for 1/4 of a batch of cookies. How much flour does she need for a whole batch of cookies?
***WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER***
Answer:
1 1/3 cups of flour
Step-by-step explanation:
1/3 x 4 = 4/3 = 1 1/3
Hope that helps! :)
-Aphrodite
Find the compound amount and compound interest on $6000 invested at 6%
compounded continously for 6 years. Use e = 2.71828
(Round value of exponential expression upto 4 decimal places.)
Answer:
$8,511.1147
Step-by-step explanation:
Compound interest formula is expressed as;
A = P(1+r)^n
P is the amount invested = $6000
r is the rate = 6% = 0.06
t is the time = 6yrs
A is the compound amount
A = 6000(1+0.06)^6
A = 6000(1.06)^6
A = 6000(1.4185)
A = 8,511.1147
Hence the compound amount to 4dp is $8,511.1147
If you know the area of a circle, how can you find its radius? Use the drop-down menus to explain your answer. Choose.. the area by n, and then take the Choose... of the answer. Choose
1 choose: multiply or Divide
2 Choose: square or square not
Answer:
This is the answer!!!
Step-by-step explanation:
Please help will give brainliest!
Answer:
Yes, Yes, No, Yes.
Step-by-step explanation:
2/5 as a decimal = 0.4
4 ÷ 0.4 = 10
1 is correct.
2 x 10 = 20
2 is correct.
6 x 10 = 60
3 is incorrect.
10 ÷ 2 = 5
4 is correct.
Given z, find lzl.
Z = 10i
IzI = [?]
Answer: it's 10, not 210.
Transformations of Functions (A1)
The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?
A: y=−f(x+1)
B: y=−f(x−1)
C: y=−f(x)+1
D: y=−f(x)−1
Answer:
i think the answer is B, good luck
Answer:
c i do believe good luck with the answer
The function f is defined by f(x) = 5x2 + 2x + 5. What is the value of f(2)?
Answer:
[tex]f(x) = 5 {x}^{2} + 2x + 5 \\ when \: x = 2 \\ f(2) = 5( {2})^{2} + 2(2) + 5 \\f(2) = 29[/tex]
Ken flips a coin and draws a card. Is this a independent or dependent event?
What value of n makes the equation true ? Show your work.
Answer:
n = 6
Step-by-step explanation:
Given the expression
[tex](\frac{19^8}{7^n})^4 = (\frac{19^4}{7^3})^8 \\\frac{19^{32}}{7^{4n}} = \frac{19^{32}}{7^{24}}\\\frac{1}{7^{4n}} = \frac{1}{7^{24}} \\Reciprocate \ both \ sides\\7^{4n} = 7^{24}\\4n = 24\\n = \frac{24}{4}\\n = 6[/tex]
Hence the value of n is 6
You purchase a new car for $24,000. If you obtain a 5 year bank loan at 2.75% compounded monthly, what is your monthly loan payment?
Answer:
The monthly loan payment is of $458.88.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Amount owed after 5 years:
Loan of 24000 means that [tex]P = 24000[/tex]
5 years means that [tex]t = 5[/tex]
Interest rate of 2.75% means that [tex]r = 0.0275[/tex]
Compounded monthly means that [tex]n = 12[/tex]
The amount is A(5). So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(5) = 24000(1 + \frac{0.0275}{12})^{12*5}[/tex]
[tex]A(5) = 27533[/tex]
What is your monthly loan payment?
$27,533 in 5 years = 5*12 = 60 months. So
27533/60 = 458.88
The monthly loan payment is of $458.88.
Marie bought a shirt on sale. The original price of the shirt was $40. What is the sale price of the shirt after a 20% discount?
Answer:
s
Step-by-step explanation:
Mr. Sanchez built a fence to enclose a rectangular
yard for his horse. If the area of the yard to be
enclosed is 2835 square feet, and the length of
the yard is 45 feet, how much fencing is needed?
9514 1404 393
Answer:
216 feet
Step-by-step explanation:
The area is given by the formula ...
A = LW
Solving for width, we have ...
W = A/L = 2835 ft²/(45 ft) = 63 ft
__
The perimeter is given by the formula ...
P = 2(L +W)
P = 2(45 ft +63 ft) = 2(108 ft)
P = 216 ft
216 feet of fencing are needed to enclose the area.
On the day of a child's birth, a parent deposits $30,000 in a trust fund that pays 3% interest, compounded continuously. Determine the balance in this account on the child's 24th birthday.
Answer:
3/100 × 30000 is the answer to your question.