Answer:
1. Complementary Angles.
2. x=60°
Step-by-step explanation:
Part 1:
*Note: A complementary angle is when the sum of two angles equal 90 degrees. A Supplementary angle is when the sum of 2 angles equals 180 degrees.
In this instance, the 2 angles equal 90 degrees, as indicarted by the box on the angle. Therefore, the the angles are complentary.
Part 2:
1. Since we know that the sum of the two angles (x-30 and x) is 90 degrees, we can write an equation which says: (x-30) + x=90.
2. Then we'd simplify the equation by adding the like variables, and adding 30 to both sides:
2x=120
3. Now we will divide both sides by 2
[tex]\frac{2}{2} x=\frac{120}{2} \\x=60[/tex]
4. As a result, we get x=60, now label your answer with the degree sign, and enjoy your answer.
Sophia invested $79,000 in an account paying an interest rate of 6.8% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest year, for the value of the account to reach $152,800?
Answer:
10
Step-by-step explanation:
The value of the account will reach $152,800 in 10 years.
What is Compound Interest?Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.
Interest compounded continuously means there is no limit for the process of compound of interest. It is compounding infinite times.
The formula for calculating the final amount when the interest is compounded continuously is,
A = P e^(r t)
Here, A is the final amount, P is the initial or principal amount, r is the rate of interest and t is the number of years.
Given that,
A = $152,800
P = $79,000
r = 6.8% = 6.8/100 = 0.068
We have to calculate t.
152,800 = 79,000 e^(0.068 t)
152,800 / 79000 = e^(0.068 t)
1.934 = e^(0.068 t)
Taking logarithms on both sides,
㏑ 1.934 = ㏑ e^(0.068 t)
We have ㏑(a)ⁿ = n ㏑(a)
0.65968 = 0.068t ㏑ e
0.65968 = 0.068 t × 1
t = 9.7 ≈ 10 years
Hence the amount is compounded to $152,800 in 10 years.
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Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25 pounds per week. Write an equation for total pounds, y, of aluminum cans after x weeks. How many pounds of cans will Rufus have after 6 weeks?
Write an equation of the line in point slope form
(2, 4) and (3,6)
Answer:
(y – 4) = 2(x – 2)
Step-by-step explanation:
point slope: y – y₁ = m ( x - x₁ ).
slope: m = ∆y / ∆x.
_______________
m = ∆y / ∆x = [ 6 – 4 / 3 – 2 ] = [ 2 / 1 ]
= 2
____________________________
(2, 4) → (x₁, y₁).
2 → m.
y – y₁ = m(x – x₁) → y – 4 = 2(x – 2).
Answer:
y-4=2(x-2)
Step-by-step explanation:
If the area of a rectangle is
(15x^2 - 16x - 15) square feet,
and its length is (3x - 5) feet,
find its width.
Answer:
Width = 5x +3
Step-by-step explanation:
15x² - 16x - 15 = 15x² - 25x + 9x - 3 *5
= 5x(3x - 5) + 3(3x - 5)
= (3x - 5)(5x + 3)
Width = [tex]\frac{Area}{length}[/tex]
[tex]= \frac{15x^{2}-16x - 15}{(3x-5)}\\\\=\frac{(3x-5)(5x+3))}{(3x-5)}\\\\=5x + 3[/tex]
PLEASE help, im trying to bring my grade up for this class.
Answer:
Yes, Nan pays $25 more
Step-by-step explanation:
144 hours /24 hours per day = 6 days exactly
$50 + (5 x $25) = $175
145 hours 24 hours per day = 6 days and one hour (must pay for 7 days)
$50 + (6 x $25) = $200
$200 - $175 = $25 more
can someone help with this?
Answer:
-√(18)i, √(18)i
Step-by-step explanation:
3x^2+54 = 0
So first, no real solution, but...
x^2+18 = 0
x^2 = -18
==> x = -√(18)i, √(18)i
Find the unit rate.Round to the nearest hundredth,if necessary. 2.99 for 16 lb I REALLY NEED HELP !!!
9514 1404 393
Answer:
0.19/lb
Step-by-step explanation:
When computing cost per quantity, the cost is divided by the quantity.
2.99/(16 lb) = 0.186875/lb ≈ 0.19/lb
Answer:
heyy it's me again lol but The unit rate is $0.19/lb.
Step-by-step explanation:
Divide the total by the number of pounds to get the price per pound, or the unit rate.
$2.99 ÷ 16 lb = 0.186875
Since 0.186875 isn't an accurate US dollar amount, round to nearest hundredth, 0.19.
so you answer is $0.19/Ib
God bless you!
What is the value of the expression below when w=5w=5? 4w+9 4w+9
Answer:
29
Step-by-step explanation:
substitute 5 where the w goes in the expression.
It should look like 4 • 5 + 9
Using the order of operations ( PEMDAS ) multiply 4 • 5 to get 20 and then add 9 to get 29
Using the order of operations ( PEMDAS ), the value of the expression is 29.
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
We need to find the value of the expression below when w = 5w = 5.
Using the order of operations ( PEMDAS ),
Then substitute 5 where the w goes in the expression.
4w+9 = 4 • 5 + 9
4w+9 = 20 + 9 = 29
Using the order of operations ( PEMDAS ), the value of the expression is 29.
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Jessica sold girl scout cokies she sold 26 boxes.How many cases of 12 plus extra boxes does she need.
Answer:
Jessica needs 2 cases of 12 girls scout cookies plus 2 extra boxes
Step-by-step explanation:
Number of boxes sold = 26
Cases of 12 plus extra boxes needed
Number of cases of 12 needed :
Number of boxes sold / 12
= 26 /12
= 2 remainder 2
Hence, Jessica needs 2 cases of 12 girls scout cookies plus 2 extra boxes
Please help me
thank you!
Answer:
Is that your answer
Answer:
3
Step-by-step explanation:
1/6 of 18 is 3/18, and 2/3 of 18 is 12/18
So 3/18 + 12/18= 15/18
18-15=3
Hope this helps.
AOB and COD are two straight lines. Find ZBOD.
help
6.
True or False:
Common logarithms are logarithms with a base of 10.
Answer:
true
Step-by-step explanation:
what is c - b for six grade math
Answer:
specify?
Step-by-step explanation:
give us a image
Fill in the blank with the correct word(s) to complete the sentence.
A net is a two-dimensional ______ of a three-dimensional figure.
A.
pattern
B.
length
C.
congruent
D.
height
FREE BRAINLEST GIVEAWAY THE FIRST PERSON TO ANSWER FIRST GETS BRAINLEST! :P
Answer:
pattern
Step-by-step explanation:
hope it helps............:)
the volume in cm squared of a cube of edge 2cm is
Answer:
volume = 2 x 2 x 2 = 8 cm²
Step-by-step explanation:
Please help math sucks
how would you move the green shape exactly over the gray shape using the fewest moves? check only necessary moves
Answer:
turn and rotate
Step-by-step explanation:
Answer:
Flip then slide
Step-by-step explanation:
I think if you flip the shape it will go the direction of the blue shape then you just need to slide it
help me with this too please
Answer:
this is a test but its he second one :D
Step-by-step explanation:
Help please
-6 + 2/5c = 24
Answer:
c = 75
Step-by-step explanation:
Add 6 to both sides: 2/5c = 30
Divide both sides by 2/5 (or multiply by reciprocal of 5/2): c = 150/2
c = 75
The price of a phone was $480. After two months of its release, there is a price decrease of 28%. Which of the following expression gives the difference in the prices of the phone before and after the two months?
$16(28%)
$16(72%)
$16(172%)
$16(128%)
Answer:
???
Step-by-step explanation:
A child standing on a river bank ten feet above the river throws a toward the river at a speed of 12 feet per second . How long does it take before the rock splashes into the river ? Use the equation h=-16t^ 2 +vt+s
PLEASESE HELP
Which of the following would be considered a "like radical" for 2/3?
In the number 15.42, how is the value of the digit "2" different from the value of the digit "2" in the number 12.54?
By how much is -23 less than 23?
Answer:
46
Hope it helps
Please mark me as the brainliest
Thank you
Freedom PopFreedom PopFreedomFreedom Pop Pop they right?
Answer:
D
B
Step-by-step explanation:
1. x² - 5x = 14
x² -5x -14 = 0
x² +2x -7x -14 = 0
x(x + 2) -7(x + 2) = 0
x - 7 or x + 2 = 0
x = 7 or x = -2
2. y² + 6y + 9 = 49
y² + 6y +9 -49 = 0
y² +6y -40 = 0
y² +10y -4y -40 = 0
y(y + 10) -4(y + 10) = 0
y -4 or y + 10 = 0
y = 4 or y = -10
7. Given the systems below, state how many solutions there are. YOU MUST GIVE A
REASON
What is an anticodon?
helllllllllllllllppppppppppppp WILL MARKBRIANLIST
Answer:
4(25) + 6(-5) -2 = 100 - 30 -2 = 70 - 2= 68
Chris says that the expression 4n - 2 can be written as 2(2n - 1). Do you agree? Explain your answer.
Answer:
Correct
Step-by-step explanation:
The given expression is : 4n - 2
Chris says that the expression (4n-2) can be written as 2(2n - 1).
Taking 2 common on the given expression.
(4n-2) = 2(2n-1)
Hence, he has wrote it in a correct way.
y> 3x-2
Graph the solution
Answer:
4 es esa ????k nose