Answer:
$9,724.05
Step-by-step explanation:
8000(1+.05)^4= 9724.05
sry if im wrong :)
The amount after 4 years will be equal to $9,724.05
What is compound interest?The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.
Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-
Given that Mr.Turner invested $8,000 in an account for his daughter’s college education. The account pays 5% interest, compounded yearly.
The amount after 4 years will be calculated as:-
[tex]A = P ( 1 + \dfrac{r}{100})^{nt}[/tex]
[tex]A = 8000 ( 1 + \dfrac{5}{100})^{4}[/tex]
A = 9724.05
Therefore, the amount after 4 years will be equal to $9,724.05.
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Using the Incenter P, find the measure of ∠ZPX.
117°
140°
64°
129°
42°
132°
Answer:
The measure of ∠ZPX is 63°
Step-by-step explanation:
The given parameters are;
The incenter of the triangle = P
m∠KXP = 31°, m∠PYJ = 27°, [tex]\overline {ZP}[/tex] = 20 feet
Given that the segment [tex]\overline {XJ}[/tex] from the vertex, X, passes through the incenter of the triangle, we have;
The segment [tex]\overline {XJ}[/tex] bisects ∠KXL to form ∠KXP and ∠LXP
Therefore, ∠KXP = ∠LXP = 31°
∠KXL = ∠KXP + ∠LXP = 31° + 31° = 62°
∠KXL = 62°
Similarly;
The segment [tex]\overline {YL}[/tex] bisects ∠KYJ to form ∠PYJ and ∠PYK
Therefore, ∠PYJ = ∠PYK = 27°
∠KYJ = ∠PYJ + ∠PYK = 27° + 27° = 54°
∠KYJ = 54°
In ΔXYZ, we have, ∠LZJ + ∠KYJ + ∠KXL = 180° based on the sum of the interior angles of a triangle postulate
∴ ∠LZJ = 180° - (∠KYJ + ∠KXL) = 180° - (54° + 62°) = 64°
∠LZJ = 64°
The segment [tex]\overline {ZK}[/tex] bisects ∠LZJ to form ∠PZL and ∠PZJ
Therefore, ∠PZL = ∠PZJ
∠LZJ = ∠PZL + ∠PZJ = 2 × ∠PZL = 64°
∠PZL = 64°/2 = 32° = ∠PZJ
In ΔZPX, we have;
∠PZL + ∠LXP + ∠ZPX = 180° based on the sum of the interior angles of a triangle postulate
∠ZPX = 180° - (∠PZL + ∠LXP) = 180° - (32° + 31°) = 63°
∠ZPX = 63°
The measure of ∠ZPX = 63°
A cheesecake recipe says, "Mix 12 oz of cream cheese with 15 oz of sugar. How many ounces of cream cheese are there for every ounce of sugar?_ How many ounces of sugar is that for every ounce of cream cheese?
Quadratic functions. Did I do it right?
Answer:
1) The graph is opening upwards
2) Axis of symmetry is x=-2
3) Vertex: (-2, 1) minimum y=1
4) y intercept is (0, 9)
5) domain: x|x ∈ R (All real numbers)
6) Range y|y ≥ 1
Solve plzzz ASAP due today
Answer:
#3- x=2.73
#4- x=8
Step-by-step explanation:
Answer: X = 3 / X = 8
Step-by-step explanation:
3. (Angles add up to 180)
30x + 4 + 86 = 180
30x + 90 = 180
subtract 90 from both sides
30x = 90
Now divide by 30
x = 3
Check your work ( input 3 to the equation)
30(3) + 4 + 84
90+ 90 = 180 it works :)
4. (Angles are adjacent to each other so there equal)
10x - 3 = 77
add 3 to both sides
10x = 80
divide it by 10
x = 8
Check your work ( input 8 to the equation )
10(8) -3 = 77
80 - 3 = 77
77 = 77
Ghosts are still one of the greatest frights. The number of scares a ghost will get is modeled with the equation
`y=5x+2`. Skeletons, on the other hand, have become rather common and no one is scared of them anymore. In fact, they often are scared themselves more than they scare anyone else. If the equation for skeletons is perpendicular to the equation for ghosts and passes through the point (10, -4), what is the equation for skeletons?
Answer:
i don't know the answer but i really want the points
Step-by-step explanation:
line with a slope of 2 and passes through point (3, 5)
Answer:
i dont get what you are trying to say is their a graph u can show
Step-by-step explanation:
Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (3, 5) into the partial equation
5 = 6 + c ⇒ c = 5 - 6 = - 1
y = 2x - 1 ← equation of line
Hi. ITS URGENT.
I need help with No 5 and 7 (see image)
Please show workings
Answer:
5. a^3 + b^3 = (a+b)^3 - 3ab(a+b)
Step-by-step explanation:
(a+b)^3
= (a+b) (a+b) (a+b)
={(a+b) (a+b)} (a+b)
={a(a+b) + b(a+b)} (a+b)
=(a^2 + ab + ab + b^2) (a+b)
=(a^2 + b^2 + 2ab) (a+b)
=a^2(a+b) + b^2(a+b) + 2ab(a+b)
=a^3 + a^2b + ab^2 + b^3 + 2a^2b + 2ab^2
=a^3 + b^3 + 3a^2b + 3ab^2
=a^3 + b^3 + 3ab(a+b)
(a+b)^3 = a^3 + b^3 + 3ab(a+b)
(a+b)^3 - 3ab(a+b) = a^3 + b^3
a^3 + b^3 = (a+b)^3 - 3ab(a+b)
Hope this helped!
Answer:
I am just giving the expansion, so that you can substitute the values and solve it
Amanda’s dog eats 12\frac{1}{2}12 2 1 pounds of dog food in 3 weeks.
Answer:
y=mx+b
Step-by-step explanation:
Thomas earns extra money babysitting. He charges 45.50 for 5 hours and 72.80 for 8 hours. How much will thomas charge for 3 hours.
What is 2/3 divided by 1/2 ?
A. 3/4
B. 4/3
C. 1/3
D. 1/4
Answer:
B. 4/3 is your answer dear.
Step-by-step explanation:
Solve
2/3 * 2/1
coz it is reciprocal .
you'll get 4/3
Hope you got it.
Mallory's mom gave her $25.00 to buy school supplies. Mallory needs to buy 5 notebooks and some mechanical pencils. If each notebook costs $2.19 and each mechanical pencil costs $1.50, how many mechanical pencils can Mallory buy using only the money her mom gave her?
Answer:
Mallory can buy 16 notebooks
Step-by-step explanation:
You divide 25.00 by 1.50 which is 16.6 repeating. so, she can only buy 16 notebooks
Answer:
she can buy 9 pencils
Step-by-step explanation:
Let p(x) = -2x - 9. If p(x) = -19, find x.
Answer:
x=5
Step-by-step explanation:
Step 1: Flip the equation.
−2x−9=−19
Step 2: Add 9 to both sides.
−2x−9+9=−19+9
−2x=−10
Step 3: Divide both sides by -2.
Exact Form:
x = 9/17
Decimal Form:
x = 0.52941176…
Edit: "but what are the steps to get 9/17"
1. Move all terms containing x to the left side of the equation.
2. Divide each term by −17 and simplify.
What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (2, −1)? y = Negative one-thirdx − One-third y = Negative one-thirdx − Five-thirds y = 3x − 3 y = 3x − 7
Answer:
D, y = 3x − 7
Step-by-step explanation:
Edge 2020, mark as brainliest plz
Answer:
The Answer is D.
Step-by-step explanation:
Identify the most reasonable unit to measure the volume of a glass of orange juice.
Answer:
Liters
Step-by-step explanation:
Every recipient that has a volume of liquid in it,you mesure it in liters!
PLEASE HELP ME!!!!!!!!!!!!!!!
You received a $150 gift certificate to a clothing store. The store sells T-shirts for $17 and dress shirts for $26. You want to spend no more than the amount of the gift certificate. You want to leave at most $8 of the gift certificate unspent. You need at least dress . What are all of the possible combinations of T-shirts and dress shirts you could buy?
seclect all that apply
A: 4 t-shirts and 3 dress shirts
B: 1 t-shirt and 5 dress shirts
C: 5 t-shirts and 2 dress shirts
D 2 t-shirts and 4 dress shirts
Answer:
d I think
Step-by-step explanation:
blablablablabal
solve the equation
pls help me
write an equation in slope-intercept form for the line with slope -3/5 and y-intercept -2. :))
Answer:
Step-by-step explanation:
Given m=-3/5 ; c = -2
y =mx + c
y= (-3/5)x -2
Match the term with the definition. (5 points) Column A 1. Line : Line 2. Line Segment : Line Segment 3. Ray : Ray 4. Point : Point 5. Vertex : Vertex Column B a. a location, has no dimension b. the common endpoint of two segments or rays that form the "corner" of an angle c. an infinite number of points extending in opposite directions that has only one dimension d. part of a line that has two endpoints e. part of a line that has one endpoint and continues in one direction infinitely
Answer:
a. Point.
b. Vertex.
c. Line.
d. Line segment.
e. Ray.
Step-by-step explanation:
a. Point: a location, has no dimension. Also, a point doesn't have a size i.e no length, depth, breadth or height.
b. Vertex: is the common endpoint of two segments or rays that form the "corner" of an angle.
c. Line: is an infinite number of points extending in opposite directions that has only one dimension.
d. Line segment: is part of a line that has two endpoints.
e. Ray: is part of a line that has one endpoint and continues in one direction infinitely.
You buy a used car for $20,000. It depreciates at the rate of 21% per year. Find the value of the car for the given years.
A. 5 years.
B. 8 years.
Answer:
a is 840 ,b is 525
Step-by-step explanation:
At the end of each year, its value is down to 79%, which is 0.79 times its value at the start of the year. Keep this up for n years and the value is
V(n) = $20,000 (0.79)n,
where n is the number of years elapsed from when the value was $20,000. Just plug in n=5 and n=8, evaluate, and get your 2 answers.
Answer:
A. 5 years
Step-by-step explanation:
21% of 20,000 is 4200, mutiply that by 5 and get $20,000
what is the equation of the line in slope intercept form
Answer:
y=-5x
Step-by-step explanation:
Whích best describes the range of the function f(x) = } 6)* after it has been reflected over the x-axis?
all real numbers
all real numbers less than 0
all real numbers greater than 0
O all real numbers less than or equal to 0
Answer:
c
Step-by-step explanation:
im right i took the test
pls help me with question 8
9514 1404 393
Answer:
weight = 5, 6.5, 7.2, 9, 16
cost = $2.50, $3.25, $3.60, $4.50, $8.00
Step-by-step explanation:
The first column tells you the cost is ...
$2.50/(5 lb) = 0.50 $/lb
That is, each bottom number is half the top number, or each top number is double the bottom number.
The table is ...
weight = 5, 6.5, 7.2, 9, 16
cost = $2.50, $3.25, $3.60, $4.50, $8.00
Write the equation of the line in standard form
y
5
3
2
1
X
1
4
2
5
3
-1
-5
-4
-3
-2
-2-
-3
Answer:
(5,1)
(3,4)
(2,2)
(1,5)
Billy jarred 3.87 liters of jam after 3 days. How many days does Billy need to jar 15.48 liters of jam in all?
Answer: 12 days
Step-by-step explanation:
3.87/3=1.29 liters of jam in 1 day
1.29*12=15.48 liters in 12 days
Answer:
12 days
Step-by-step explanation:
simplify I know I spelled it wrong
Answer:A
Step-by-step explanation:
Answer:
D ) 25t + 10
Step-by-step explanation:
Re-order terms so constants are on the left:
(5t+2) 5
5 (5t +2)
Distribute:
5 (5t +2)
25t +10
Answer:
25t +10
Rewrite without parentheses. -3y^4(6y^3 -7y^2 - 3y)( click/tap on image to see.)
Answer:
I got -18y^7 + 21y^6 + 9y^5
Step-by-step explanation:
Delia measured a doorway to be 1 meter wide. Which of these is a nearly equivalent measurement? A 15 miles B 10.5 yards C 3.3 feet D 98.7 inches
Answer:
c
Step-by-step explanation:
plz answer its due today!!
Answer:
-5/8
Step-by-step explanation:
I need help with this Show work on each one
Answer:
first one is 1
Second is -2/3
Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches.
Answer:
frame b because it takes up more room than the other some it forces the other to be smaller
Step-by-step explanation:
Answer:
Step-by-step explanation
It is Frame B trust me it is bigger.