9514 1404 393
Answer:
$737,289
Step-by-step explanation:
The future value of an investment P invested at rate r per year compounded monthly for t years is ...
FV = P(1 +r/12)^(12·t)
We want to find P for the given future value, so we can solve for that:
P = FV/(1 +r/12)^(12·t) = FV(1 +r/12)^(-12·t)
P = $2,000,000(1 +.05/12)^(-240) = $737,289
Mr. Halpayne needs a present value of $737,289 to support his retirement.
[tex]16z - (-12z) =[/tex]
Answer:
4
Step-by-step explanation:
y-2x=1 does the equation describe a function
yes or no
Answer:
Yes.
Step-by-step explanation:
Sarah drove 420 miles in 6 hours. Jonathan drove the same distance going an average of 60 miles per hour throughout the entire trip.
Who was driving faster and by how much?
Answer:
Sarah was driving faster by 10 mph.
She was driving 70 miles per hour while Jonathan was only driving 60 miles per hour.
Joseph and Isabelle left Omyra’s house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her bike west at 12 kilometers per hour. Omyra tried to figure out how far apart they were after 1.5 hours. Her work is shown below. Which statements describe her errors? Check all that apply.
A right triangle. The distance north from Omyra's House is 8 kilometers, and the distance west is 12 kilometers.
8 squared + 12 squared = d squared. 64 + 24 = d squared. 88 = d squared. StartRoot 88 EndRoot = d. 9.4 almost-equals d.
She did not find the full distance each traveled in 1.5 hours. She should have used 12 km for Joseph’s distance and 18 km for Isabelle’s distance.
She did not square the 12 in the problem. She should have used 12 squared = 144.
She did not evaluate 8 squared correctly. She should have used 8 squared = 8 (2) = 16.
She did not evaluate StartRoot 88 EndRoot correctly. She should have used StartRoot 88 EndRoot almost-equals 44.
She should not have taken the square root of each side when solving. She should have just divided each side by 2.
She should not have added the squares in the first step. She should have used 12 squared minus 8 squared = d squared.
For this case the distance will be given by:
d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2
Rewriting we have:
d ^ 2 = (18) ^ 2 + (12) ^ 2
d ^ 2 = 324 + 144
d ^ 2 = 468
d = root (468)
d = 21.63 Km
Answer:
1) She did not find the full distance each traveled in 1.5 hours.
2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.
Answer:
a and b
Step-by-step explanation:
Can you guys pls pls help me
Answer:
21: 37
They are the opposite side exterior angles
22: 40
23: 126
They are the opposite side exterior angles
24: 1
25: 12
90 - 48 = 42
42 = 3x + 6
36 = 3x
12 = x
26: 41
180 - 139 = x
41 = x
27: 140
180 - 40 = 140
28: 68
90 - 22 = 68
29: False
Complementary angles add up to 90 degrees
Hope this helps!
Write the equation of the graph.
Karl is comparing the interest rates for accounts at two different banks. He will deposit $600 into an account and will not make any additional deposits or withdrawals. Bank Q offers 1% interest compounded annually. Bank R offers 1.5% simple interest.
Answer: bank R for 1 year
Step-by-step explanation:
Given
Principal deposit is [tex]P=\$600[/tex]
Bank Q offers 1% interest compounded annually
Bank R offers 1.5% simple interest annually
For Bank Q, Compound interest is given by
[tex]\Rightarrow P[1\frac{R}{100}]^t-P[/tex]
for 1 year it is
[tex]\Rightarrow 600[1+\frac{1}{100}]-600=\$6[/tex]
For bank R, simple interest is
[tex]S.I.=\dfrac{P\times R\times T}{100}[/tex]
for 1 year it is
[tex]\Rightarrow S.I.=\dfrac{600\times 1.5\times 1}{100}=\$9[/tex]
Clearly, bank R offers more interest for 1 year
m(x)=-5/3x+4
Find m(3)
Answer:
-1
Step-by-step explanation:
Please enclose the fractional coefficient inside parentheses:
m(x) = (-5/3)x + 4
To find m(3), replace x in the above equation with 3:
m(3) = (-5/3)(3) + 4 = -5 + 4 = -1
Select the end behavior of the exponential function shown in the graph
Answer:
The x graph
Step-by-step explanation:
The x graph
Answer: D
Step-by-step explanation:
ty in advance for whoever does this. Find the range and put it on the graph. thank you <3
Answer:
Step-by-step explanation:
[tex]y_{1}[/tex] = - 4 - 2( - 3) = 2
[tex]y_{2}[/tex] = - 4 - 2( - 2) = 0
[tex]y_{3}[/tex] = - 4 - 2( - 1) = - 2
[tex]y_{4}[/tex] = - 4 - 2( 0 ) = - 4
[tex]y_{5}[/tex] = - 4 - 2( 1 ) = - 6
Range: { 2, 0, - 2, - 4, - 6 }
A triangle's side lengths are 15 cm and 10 cm. Write an inequality to determinte the possible measure for the missing side length.
Answer:
the missing side lenght = x
0 < x < 15+10
0 < x < 25 cm
can someone please answer this
Answer:
its c
Step-by-step explanation:
What is the area ? To this ?
Answer:
9 square feet
Step-by-step explanation:
A = bh / 2
b = 3
h = 6
A = 6 * 3 / 2 = 9
Please Hurry !!
The speed s (in miles per hour of a car driving on wet asphalt can be given by s = 3 square root d, where d is the stopping distance (in feet). What is the approximate stopping distance of a car traveling 80 miles per hour? Round your answer to the nearest hundredth.
Answer:
d = 711 miles
Step-by-step explanation:
The speed s of the car is given by :
[tex]s=3\sqrt{d}[/tex] ...(1)
Where
d is the stopping distance
We need to find the stopping distance of a car travelling at 80 mph.
Rearranging equation (1) for d.
[tex]s^2=9d\\\\d=\dfrac{s^2}{9}\\\\d=\dfrac{80^2}{9}\\\\d=711.1\ miles[/tex]
or
d = 711 miles
So, the required stopping distance is 711 miles.
can someone help me please ❤️
Answer:314
Step-by-step explanation:
V=pi r squared
V= 3.14x10 squared
10 squared= 100
V=3.14x 100
V= 314
La diferencia de dos numero es 3.su suma es 13 cuáles son los dos numero
Answer: Los dos números son 8 y 5
Explanation:
Considere los dos números como
x
and
y
A partir de los datos dados, escribimos:
x
−
y
=
3
x
+
y
=
13
A partir de la primera ecuación, determinamos un valor para
x
.
x
−
y
=
3
agregar
y
a ambos lados.
x
=
y
+
3
En la segunda ecuación, sustituya
x
with
(
y
+
3
)
.
x
+
y
=
13
(
y
+
3
)
+
y
=
13
Abra los corchetes y simplifique.
y
+
3
+
y
=
13
2
y
+
3
=
13
Sustraer
3
de cada lado.
2
y
=
10
Divide ambos lados por
2
.
y
=
5
En la primera ecuación, sustituya
y
con
5
.
x
−
y
=
3
x
−
5
=
3
Agregar
5
a cada lado.
x
=
8
Step-by-step explanation:
What number makes the number sentence true?
9x5x2 = 9x
Answer:
x=0, 1/10
Step-by-step explanation: hope I helped
I was confused on your question, but what I did was solved for x.
`what is the sooulition to x + 8 = 25
Answer:
17
Step-by-step explanation:
Well you have to get x by itself so....
subtract 8 from both sides
25 -8 = 17 there is your answer
Hey there!
x + 8 = 25
SUBTRACT 8 to BOTH SIDES
x + 8 - 8 = 25 - 8
SIMPLIFY IT!
x = 25 - 8
x = 17
Therefore, the answer should be: x = 17
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A regular 13-gon is inscribed in a circle. Find the measure of each are intercepted by the sides of the polygon. Round your answer to the nearest hundreth of a degree.
Answer:
The measure of the angle subtended by each arc intercepted by the sides of the reh13-gon is approximately 27.69°
Step-by-step explanation:
The number of of equal sides in a regular 13-gon = 13 sides
The measure of the angle, 'θ', subtended by each arc intercepted by the sides of the 13-gon is given as follows;
θ = 360°/13 = [tex]27\dfrac{9}{13} ^{\circ}[/tex]
By rounding rounding the answer to the nearest 10th, we have that the measure of the angle subtended by each arc intercepted by the sides of the 13-gon, θ = [tex]27\dfrac{9}{13} ^{\circ}[/tex] ≈ 27.69°
please i rlly need help quick
Answer:
Step-by-step explanation:
100 G
1 L
4 Kg
40 ML
Answer:
100 ml's of butter 1 g of milk 4 l of potatoes and 40 kg's of sour cream
Step-by-step explanation:
pls mark me brainlyest!
Whats the answer to this?
Step-by-step explanation:
area of figure = 5x² + 3
plz mark my answer as brainlist plzzzz.hope this will be helpful to you if you find it useful ☺️
Please help me, thank you so much!! It’s just the words, no photo just so you know.
Answer:
Step-by-step explanation:
formula: a^2 + b^2 = c^2
a^2 + 15^2 = 17^2
a^2 + 30 = 289
-30 -30
a^2 = 259
(square root)
a = approximately 16
Lines A and B parallel lines cut by the transversal c. If the measure of angle 5 is 123, what is the measure of angle 1?
Will mark b if correct:)
#5 need help asap will give brainly
This might help
total surface area Stot = 42.5 ft2
lateral surface area Slat = 30 ft2
top surface area Stop = 6.25 ft2
bottom surface area Sbot = 6.25 ft2
but im thinking they would need 113.7 ft of rapping paper i many be totally wrong tho
Answer:
42.5
Step-by-step explanation:
To find how many square inches of wrapping paper he will need you need to find the area of each face of the box and add them all together.
Top and bottom face:
First, 2.5 times 2.5 equals 6.25. Multiply 6.25 times 2 since there is one for the top and bottom to get 12.5
Left, Right, front, and back face:
Multiply 2.5 by 3 to get 7.5, and multiply 7.5 by 4 to get 30 since there are four faces with the same area.
Final Step:
Now, just add all the areas of the faces calculated to recieve the answer of 42.5
30 + 12.5 = 42.5
This statement shows the ______ property.
Answer:
besti you didnt put the statement
Which expression has a value less than 5 ?
O A. 5 +8
O B. –9 + 5
O C. 1+(-8)
O D. 7+ (-2)
Answer:
es la a. 5+8 es esa amigo la respuesta
Colin invests £1100 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.
£
Where: A = P(1 + rt)
A = $1,265.00
I = A - P = $165.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year.
Solving our equation:
A = 1100(1 + (0.05 × 3)) = 1265
A = $1,265.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,100.00 at a rate of 5% per year for 3 years is $1,265.00.
write the next three terms of the arithmetic sequence.
5/6, 2/3, 1/2, 1/3, _, _, _,
i will mark as brainliest
The next terms are 1/6, 0, & -1/6.
Your at a sandwich shop, they offer 3 types of breads, 4 types of meats, and 8 types of toppings. How many different combinations are there?
Answer:
96 combinations
Step-by-step explanation:
when you get a question like this you multiply all the numbers and you get total number of combinations possible
Answer:
36 outcomes
As this a sandwich shop it uses bread for all meats.
3 x 4 x 3 = 36
Because 3 x 4 = 12
As the toppings are only repeated 8x3 = 24 and alongside this we add the shorter combinations to this
Step-by-step explanation:
B1 M1 < B1 M2 < B1 M3 < B1 M4 < B1 M1 T1 < B1 M1 T2 < B1 M1 T3 to B1 M1 T8 etc = 12 combinations step 1
B2 M1 repeat above with B2 to replace B1 above = 12
B3 M1 repeat above with B3 to replace B1 above = 12
As we only multiply whole numbers together if we are looking for an order of sequence such as combinations to a safe number code or how people stand in a queue etc back to middle number. We would get 96
Bread x middle value then outcome x toppings = 36 outcomes
The price of a new gaming PC was increased from $280 to $364. By what percentage was the price of the gaming PC increased?
MY LAST QUESTION PLZ HURRY
Answer:
1.3%
Step-by-step explanation: