Answer:
$106,426.01
Step-by-step explanation:
Use the compound amount equation A = P(1 + r)^t and take as your answer the total amount after 5 years. Here the principal is $75,000, the interest rate is 0.0725 and the number of years (t) is 5:
A = $75,000(1 + 0.0725)^5, or
A = $75,000(1.0725)^5, or
A = $106,426.01
Answer:
$434,907.04 or $435,179.37 depending on your teacher's rounding.
Step-by-step explanation:
The rent for the first year is given as $75,250.
For the second year, the rent will increase by 7.25%, so the rent will be:
$75250 + 0.0725 ($75,250) = $80,705.63
Using the calculation for the previous year, continue the formula.
The rent increases by 7.25% for the third year, so:
$80,705.63 + 0.0725 ($80,705.63) = $86,556.79
Fourth Year:
$86556.79 + 0.0735 (86556.79) = $92,918.71
Fifth Year:
92918.71 + 0.0735 (92918.71) = 99748.24
Add these all together to get the final rent after the 5 year lease:
75,250 + 80.705.63 + 86,556.79 + 92,918,71 + 99,748.24 = 435,179.37
Given d= 4t+1 can you determine the value of the y-
intercept?
HELP!! asap!
What is the following values of:
XZ:
XY:
What are the coordinates of the point on the directed line segment from ( − 10 , 2 ) (−10,2) to ( − 10 , − 5 ) (−10,−5) that partitions the segment into a ratio of 6 to 1?
Answer: [tex](-10,-4)[/tex]
Step-by-step explanation:
Given
The points joining line segment are (-10,2) and (-10,-5)
Using section formula, a point joining segment [tex](x_1,y_1)\ \text{and}\ (x_2,y_2)[/tex] divides it in k:1 has coordinates
[tex]x=\dfrac{kx_2+1\cdot x_1}{k+1}[/tex], [tex]y=\dfrac{ky_2+y_1}{k+1}[/tex]
Ratio is 6:1
Coordinates are
[tex]\Rightarrow x=\dfrac{6(-10)+(-10)}{6+1}\\\\\Rightarrow x=-10[/tex]
[tex]\Rightarrow y=\dfrac{-5(6)+1(2)}{6+1}\\\\\Rightarrow y=\dfrac{-28}{7}\\\\\Rightarrow y=-4[/tex]
Thus, the coordinates are [tex](-10,-4)[/tex]
I need help with this! Quick ASAP?
Answer:
a) F
b) B, E, D
Step-by-step explanation:
a) The segment with the greatest gradient has the largest change in y-values per unit change in x-values
From the given option, the rate of change of the y to the x-values of B = the gradient = (4 units)/(2 units) = 2
The gradient of F = (-3units)/(1 unit) = -3
The gradient of A = 4/4 = 1
The gradient of C = -2/5
The gradient of D = 2/6 = 1/3
The gradient of E = 3/4
The segment with the greatest gradient is F
b) The steepest segment has the higher gradient
From their calculated we have;
The gradient of segment B = 2 therefore, B is steeper than E that has a gradient of 3/4, and E is steeper than D, as the gradient of D = 1/3
Therefore, we have;
B, E, D.
Find an equation in point-slope form for the line having the slope m =1/3 and containing the point (-3,- 6).
An apartment has 90 square meters of carpeting. How much is this in square feet? Use the following conversion: 1 square meter is 10.8 square feet.
An explanation on how to do it would also be amazing!
Answer:
Area = 972 square feet
Step-by-step explanation:
Let 90 square meter be = x square feet
Given :
square meter square feet
1 10.8
90 x
[tex]\frac{1}{90} = \frac{10.8}{x}\\\\1 \times x =10.8 \times 90 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ cross \ multiply \ ]\\\\x = 972[/tex]
Therefore , 90 square meter = 972 square feet
Which of the following is the maximum value of the function y = −2x2 + 5?
5
−2
25
0
Answer:
The answer is 0 because the minimum is 5
Step-by-step explanation:
Use the formula
x = − b /2 a
to find the maximum and minimum.
( 0 , 5 )
Please help
Solve this system of inequality by graphing.
Answer: Thats what the graph would look like hope this helps :)
Step-by-step explanation:
Answer:
see graph.
[tex]\leq[/tex] and [tex]\geq[/tex] are solid lines
< and > are dotted lines
graph inequalities same as regular equations
< shade below
> shade above
find the product write your question in exponential form 7 ^-1 x 7 ^-7
Answer:
[tex] {7}^{ - 8} [/tex]
Step-by-step explanation:
[tex] {7}^{ - 1} \times {7}^{ - 7} \\ {7}^{ - 1 + - 7} \\ {7}^{ - 8} [/tex]
Hope this helps you.
A can of soup is 8 centimeters in diameter and 10 centimeters high. What is the volume of the can in terms of ?
Answer:
volume= 502.4cm
Step-by-step explanation:
see attachment for detailed solution
Answer:
Step-by-step explanation:
Formulae for Volume = Pi x r2 x h
Pi = 3.14 or 314/100 because the radius is not a product of 7
Radius = 4 cm
Height = 10 cm
314/100 x 4 x 4 x 10 = 512.4 cm2
= 512.4 cm2
If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
PLZZ HELPPP
This the answer
If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
PLZZ HELPPP
2x-3
x³+y³=(x+y)(x² - xy +y²)
Answer:
__________________________________
➡️x3+y3 = (x+y)(x^2-xy+y^2)
--------------------
R.H.S
(x+y)(x^2-xy+y2)
=>x3-x^2y+xy^2+x^2y-y^2x+y3
NOW after cancelling we get :
=> x3+y3
-------------------
L.H.S
=> x3+y3
L.H.S. = R.H.S
Hence VERIFIED✔✔
_______________________________
Step-by-step explanation:
Select the correct answer.
What is the solution for x in the equation?
-x + 3/7 = 2x - 25/7
Answer:
= 4/ 3
Step-by-step explanation:
-x+3/7=2x-25/7
We move all terms to the left:
-x+3/7-(2x-25/7)=0
We add all the numbers together, and all the variables
-x-(+2x-25/7)+3/7=0
We add all the numbers together, and all the variables
-1x-(+2x-25/7)+3/7=0
We get rid of parentheses
-1x-2x+25/7+3/7=0
We multiply all the terms by the denominator
-1x*7-2x*7+25+3=0
We add all the numbers together, and all the variables
-1x*7-2x*7+28=0
Wy multiply elements
-7x-14x+28=0
We add all the numbers together, and all the variables
-21x+28=0
We move all terms containing x to the left, all other terms to the right
-21x=-28
x=-28/-21
x=1+1/3
Answer:
x = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Given
- x + [tex]\frac{3}{7}[/tex] = 2x - [tex]\frac{25}{7}[/tex] ( multiply through by 7 to clear the fractions )
- 7x + 3 = 14x - 25 ( subtract 14x from both sides )
- 21x + 3 = - 25 ( subtract 3 from both sides )
- 21x = - 28 ( divide both sides by - 21 )
x = [tex]\frac{-28}{-21}[/tex] = [tex]\frac{4}{3}[/tex]
A regular decagon has a radius of 8 cm.
What is the approximate area of the decagon? Recall that a decagon is a polygon with 10 sides.
188 cm2
198 cm2
304 cm2
375 cm2
Answer:
188cm^2
Step-by-step explanation:
A regular decagon has ten sides. Therefore, a decagon with radius of 8 cm has an approximate area of 188 cm²
What is a decagon?A decagon is a polygon with 10 sides.
Therefore, the approximate area of a decagon can be found as follows:
area of decagon = r²sin(360/n) / 2 × 10
where
r = radius
n = number of sides
Therefore,
r = 8 cm
area of decagon = 8² sin (360/ 10) / 2 (10)
area of decagon = 64 sin 36 / 2 × 10
area of decagon = 64 × 0.58778525229 / 2 × 10
area of decagon = 37.6182561467 / 2 × 10
area of decagon = 18.8091280734 × 10
area of decagon = 188 cm²
learn more on decagon here: https://brainly.com/question/27314677
Un microempresario realiza una inversión donde le pagan una rentabilidad del 5,36% mensual simple, él desea que esa inversión se triplique ¿Cuánto tiempo deberá esperar para que esto ocurra?
Answer:
Deberá esperar 37.31 años para que esto ocurra.
Step-by-step explanation:
Este es un problema de interés simple.
La fórmula del interés simple viene dada por:
[tex]E = P*I*t[/tex]
En el que E es la cantidad de interés ganado, P es el principal (la cantidad inicial de dinero), I es la tasa de interés (anual, como decimal) y t es el tiempo.
Después de t años, la cantidad total de dinero es:
[tex]T = E + P[/tex]
5,36% mensual simple
Esto implica que [tex]I = 0.0536[/tex]
Inversión se triplique ¿Cuánto tiempo deberá esperar para que esto ocurra?
Tiempo t para que la cantidad de interés sea lo doble de la cantidad inicial, o sea, [tex]E = 2P[/tex].
[tex]E = P*I*t[/tex]
[tex]2P = P*I*t[/tex]
[tex]It = 2[/tex]
[tex]0.0536t = 2[/tex]
[tex]t = \frac{2}{0.0536}[/tex]
[tex]t = 37.31[/tex]
Deberá esperar 37.31 años para que esto ocurra.
PLZZ HELPPPPPP!!!!!!!!
Answer:
$1043.33
$494.47(1 +1)(1 + .055)
Step-by-step explanation:
Ryan draws a trend line through the following data
points. Did he draw the line correctly?
Answer: C, You can tell the trend line is incorrect since all of the points are below it. A trend line should be in-between all of the points to give the best estimate.
Step-by-step explanation:
Square P and Square Q are similar squares. The ratio of the side length of Square P to the side length of Square Q is 2:7. If the side length of Square P is 3.5 inches, the perimeter of Square Q is?
Answer:
49 inches
Step-by-step explanation:
since we are talking about squares, and each side in a square has the same length, and all 4 angles are 90 degrees, "similar" did not mean much. every square is similar to every other possible square.
they all are bigger and smaller copies of themselves.
but how much bigger ?
in our case here P is the smaller square and Q the bigger one.
x = side length of P = 3.5"
y = side length of Q
x/y = 2/7
3.5/y = 2/7
7×3.5 = 2y
y = 3.5×3.5 = 12.25"
the perimeter of Q is
4×y = 4×12.25 = 49"
Work out the sum of 1/4 1/6 and 1/3
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4} +\frac{1}{6} +\frac{1}{3}[/tex]
4 = 2 × 2 × 1
6 = 2 × 3 × 1
3 = 3 × 1
GCF = 1
4 × 6 × 3 = 72
[tex]\frac{18}{72} +\frac{12}{72} +\frac{24}{72}[/tex]
[tex]\frac{18+12+24}{72}[/tex]
[tex]\frac{54}{72}[/tex]
54 = 2 × 3 × 3 × 3
72 = 2 × 2 × 2 × 3 × 3
GCF = 2 × 3 × 3
GCF = 18
[tex]\frac{\frac{54}{18} }{\frac{72}{18} }=\frac{3}{4}[/tex]
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{Looking for your LCD (Least Common Denominator) of each fraction}\downarrow\\\\\\\mathsf{\dfrac{1}{4}=\dfrac{3}{12}}\\\\\\\mathsf{\dfrac{1}{6}=\dfrac{2}{12}}\\\\\\\mathsf{\dfrac{1}{3}=\dfrac{4}{12}}\\\\\\\\\\\large\textsf{The LCD is \underline{12}}[/tex]
[tex]\mathsf{\dfrac{1}{4}+\dfrac{1}{6}+\dfrac{1}{3}}[/tex]
[tex]\mathsf{= \ \dfrac{1\times3}{4\times3}+\dfrac{1\times2}{6\times2}+\dfrac{1\times4}{3\times4}}[/tex]
[tex]\large\textsf{Solving for the numerators (TOP numbers)}\downarrow\\\\\mathsf{1\times3=\boxed{\bf 3}}\\\\\mathsf{1\times2=\boxed{\bf 2}}\\\\\mathsf{1\times4=\boxed{\bf 4}}[/tex]
[tex]\large\textsf{Solving for the denominators (BOTTOM numbers)}\downarrow\\\\\mathsf{4\times3=\boxed{\bf 12}}\\\\\mathsf{6\times2=\boxed{\bf 12}}\\\\\mathsf{3\times4=\boxed{\bf 12}}[/tex]
[tex]\mathsf{=\ \dfrac{3+2+4}{12}}[/tex]
[tex]\large\textsf{Solving for your numerator (TOP number) }\downarrow\\\\\\\mathsf{3+2+4}\\\\\mathsf{= 5+4}\\\\\mathsf{= \boxed{\large\textsf{\bf 9}}}[/tex]
[tex]\mathsf{=\ \dfrac{9}{12}}[/tex]
[tex]\mathsf{\dfrac{9\div3}{12\div3}}\\\\\\\\\mathsf{9\div3= \boxed{\large\textsf{\bf 3}}}\\\\\mathsf{12\div3=\boxed{\large\textsf{\bf 4}}}[/tex]
[tex]\mathsf{= \dfrac{3}{4}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\boxed{\mathsf{\bold{ \dfrac{9}{12}\ or\ \dfrac{3}{4}}\ either\ of\ those\ fractions\ should\ work\ because}}}}\\\boxed{\boxed{\large\textsf{they are equal to each other!}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
please help!!! i’ll give brainliest.
no links
do not comment random things
i need asap!!
ill give as many points as i can
Answer:
a,d,e
Step-by-step explanation:
75+a1 = 180
so a1=105
a1=x-15
105=x-15
x=120
then using rules of parallel lines with commone intersecting line gives the others.
what fraction of 3 hours is 30 minutes?
Answer:
7/2
Step-by-step explanation:
Find the sum of the series
{1875 + 750 + 300+...
+3.072}
Answer:
Find the indicated sum for each geometric series.
{1875+750+300+⋯+3.072}
Answer: 3122.952
Step-by-step explanation:
{1875+750+300+⋯+3.072}
r=0.4 3.072=1875(0.4)n−1
0.0016384=(0.4)n−1
7=n−1→n=8
Sn=1875(1−(0.4)8)1−0.4=3122.952
I think is like this.
Please fill the blanks
Answer:
First box
8pi-(7pi/4)= pi/4
Second Box:
Tan 7pi/4= 0.09625006863
Step-by-step explanation:
helppppppppppppppppp
Answer:
Click the third one.
Answer:
3rd one
Step-by-step explanation:
Mark me brainliest pls
Hope this helps!
Is anyone free to help me? It's a picture .
Answer:
1. 8 units downwards and 2 units left
2.7 units right and 4 units upwards
3. 5 units right and 4 units downwards
Step-by-step explanation:
That how it goes
math:John is buying new shoes. He finds the shoes he wants on sale for 30%, and the original price is $88. How much will he pay for the shoes?
Answer:
26.4
Step-by-step explanation:
hd hd hd hd hd hd hd hd hd hd hd hd
Answer:$61.6
Step-by-step explanation: The sale is 30% so we have to look for 70% of $88 because that's what we're paying for. So, that would be 88 times 70/100 which ends with 61.6.
verify that :- 2/7 x (-3/5 +4/10)=2/7x-3/5 +2/7 x 4/10
please help me fast please
Answer:
hope it helps you............
Answer:
-2/35.....................
The measures of the exterior angles of a hexagon are x°, 2x°, 4x°, 6x°, 7x°, and 10x°. Find the measure of the smallest exterior angle.
Answer
x is the smallest angle so 12 is the answer.
Step-by-step explanation:
x + 2x + 4x + 6x + 7x + 10x = 360 degree (sum of exterior angles of a hexagon)
30x = 360
x = 360/30
x = 12
the smallest exterior angle of hexagon is 12 degree.
The measure of the smallest exterior angle is 12 degrees.
What is Polygon?Polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
A hexagon is a six-sided polygon or 6-gon creating the outline of a cube.
The measures of the exterior angles of a hexagon are x°, 2x°, 4x°, 6x°, 7x°, and 10x°.
We need to find the smallest exterior angle which is x.
we know that the sum of the exterior angles of any polygon is always equal to 360.
x° + 2x° + 4x° + 6x° + 7x° + 10x° = 360
30x=360
Divide both sides by 30
x=360/30
x=12
Hence, the measure of the smallest exterior angle is 12 degrees.
\
To learn more on Polygons click:
https://brainly.com/question/28276384
#SPJ2
An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?
error = 62-60 = 2°
% = (2×100)/60 = 100/30 = 10/3 = 3.333%
How can -6/4x = 12 be solved in one step?
Answer:
Multiply each side by -4/6 to isolate x
Step-by-step explanation:
-6/4x = 12
Multiply each side by -4/6 to isolate x
-4/6 *(-6/4x) = 12*(-4/6)
x =-8
Answer:
12 divided by -6/4
Step-by-step explanation:
you need to isolate the x, since -6/4 is being multiplied to x, you gotta divide it to move -6/4 to the other side x=12 divided by -6/4