Answer: x=17 and 98
Step-by-step explanation:
Those two angles are supplementary so just add them together and make it equal to 180.
John is 30 years old. He will receive two payments of $2500 each. The first payment will be an unknown number of years in the future. The second payment will be five years after the first payment. At an annual effective interest rate of I=5%, the present value of the two payments is $2606. Determine at what age John will receive the second payment.
Answer:
16 years
Step-by-step explanation:
Let us assume that he would received the first payment after t years
So
The following formula should be used
PV = P ÷ (1 + r)^t + P ÷ (1 + r)^t+5
$2,606 = $2,500 ÷ (1 + 0.05)^t + $2,500 ÷ (1 + 0.05)^t + 5
$2,606 = $2,500 ÷ 1.05^t (1 + 1 ÷ (1.05)^5)
1.05^t = $2,500 ÷ $2,606 (1.7835) = 1.71098
t = ln(1.71098) ÷ ln(1.05)
= 11
Therefore he would be received the second payment after
= 11 + 5
= 16 years
The sum of two numbers is 48. The second number is twice the first
Write and solve a system of equations to find the numbers.
Answer:
The equations are
X + Y = 48 ----Eq (1)
Y = 2 X -----Eq (2)
Solution of the equations and the two number are
X = 16, Y = 32
Step-by-step explanation:
Let the two numbers be X and Y
Given -
The sum of two numbers is 48.
Thus, X + Y = 48 ----Eq (1)
The second number is twice the first
Thus, Y = 2 X -----Eq (2)
Substituting the value of Y in equation (1), we get -
X + 2X = 48
3 X = 48
X = 16
Y = 2 X = 32
ver imagen para la pregunta
Answer: C
Step-by-step explanation:
[tex] \frac{ - 48 + 6}{ - 7} + ( - 3)( - 4)( - 2)[/tex]
Step-by-step explanation:
[tex] \frac{ - 48 + 6}{ - 7} + ( - 3)( - 4)( - 2) \\ = \frac{ - 42}{ - 7} + 12( - 2) \\ = 6 + ( - 24) \\ = 6 - 24 \\ = - 18[/tex]
10. Use the two given poInts and calculate the slope.
(7,2), (6,1)
Answer:
The answer is m=1 , the slope is 1
Step-by-step explanation:
Rewrite the equation below in Graphing Form:
2.
y = x2 8x + 31
Answer:
y=x^28x+31
Step-by-step explanation:
Answer: y= x 4 − 6 y = 1 x − 2
Step-by-step explanation:
2-13^3-10(23+21) = X
Answer:
x= -2635
Step-by-step explanation:
2 - 2197 - 10 x 44 = x
2- 2197 - 440 = x
-2635 = x
Answer:
x= -2635
Step-by-step explanation:
2 - 2197 - 10 x 44 = x
2- 2197 - 440 = x
-2635 = x
please solve question 1 step by step and the others if u have time please
Let the each angle be x , 2x and 3x.
→ x + 2x + 3x = 5600
→ 8x = 5600
→ x = 5600/8
→ x = 700
the value of x is Rs.700.
Now, 2x = 2×700 = 1400
, 3x = 3×700 = 2100
Each one will get Rs.700 , Rs.1400 and Rs. 2100.
b + -73 = -58
help please
Answer:
Step-by-step explanation:
b-73=-53
b=-53+73
b=+73-53
b=73-53
b=20
Steves pattern: 4, 25, 130, 665. what is steves pattern?
Answer: (4+1)*5=25; (25+1)*5=130; (130+1)*5=655.
Step-by-step explanation:
Please help me it’s due today
Find the total lateral area of the following
cone. Leave your answer in terms of a.
4 cm
3 cm
LA = ? cm2
Answer:
15π cm²
Step-by-step explanation:
The total lateral area of a cone
= πr√h² + r²
= √h² + r² = l
h = Height = 4cm
r = radius = 3cm
Hence:
= π × 3 √4² + 3²
= 3π × √16 + 9
= 3π × √25
= 3π × 5
= 15π cm²
Avery signed up for a streaming music service where there's a fixed cost for monthly
membership and a cost per song downloaded. Her total cost is given by the linear
graph below. What is the meaning of the point (1,9.24)?
S19.24
S17.99
A) How much the streaming service
charges per downloaded song.
$16.74
S15.49
B) The base cost of the streaming service
S14.24
per month.
Total Cost per Month
$12.90
SEL.74
C) A total cost of 9.24 per month when
one song is downloaded.
SI0.49
D) The cost to download 100 songs.
59.24
57.90
Number of Songs
Answer:
c
Step-by-step explanation:
Ali travelled 75% of her journey to work by taxi. If his total journey is 12km, what distance did she travel by taxi? don't send in file please
From a point 340 meters from the base of the Hoover Dam, the angle of elevation to
the top of the dam is 33°. Find the height of the dam to the nearest meter.
Answer:
221 m
Step-by-step explanation:
Let h = height of dam
tan 33 = h/340
340 tan 33 = h
h = 221 m
The height of the dam to the nearest meter will be 221 m.
What is height?The vertical distance between the object's top and bottom is defined as height. It is measured in centimeters, inches, meters, and other units.
From the trigonometry;
[tex]\rm tan \theta = \frac{P}{B} \\\\ \rm tan 33^0 = \frac{h}{340} \\\\ h=221 \ m[/tex]
To learn more about the height, refer to the link;
https://brainly.com/question/10726356
#SPJ2
Can someone help me please
Answer:
1: x = 6
2: There is no solution. Sorry. (because the ending equation will be 0 = 7)
3: I can't see the other part of the equation, I need to see what the fraction is in order to solve it. If you can retake the picture, I can edit my response :)
Step-by-step explanation:
#1: 3(x-1) is pretty much just 3x-3. Simple.
Now, your equation becomes 3x-3 = 2x+9.
Arrange them so that the like terms are together.
Since you will be taking the 2x from 2x+9 over to the other side, it becomes 3x-2x-3 = 9.
Now, bring the 3 over to the side with the 9.
x = 6.
#2: Same as before, -2(x+1) is (-2x) - 2.
So, -2x-2 = -2x+5.
As I said before, you need to group the like terms together.
-2x and -2x go together, and -2 and 5 go together.
-2x+2x=5+2
0=7.
There is no solution.
#3: Like the other two, 4(x-1) is 4x-4. As for the other part, I cannot see the fraction before (x-8).
2. A wooded area is in the shape of a a trapezoid whose bases measure 128 m and $2 m and its height is 40 m. A 4 m wide walkway is constructed which runs perpendicular from the two bases. Calculate the area of the wooded area after the addition of the watkway
Correction in the Question:
A wooded area is in the shape of a a trapezoid whose bases measure 128 m and 92 m and its height is 40 m. A 4 m wide walkway is constructed which runs perpendicular from the two bases. Calculate the area of the wooded area after the addition of the walkway.
Answer:
The wooded area after the addition of the walkway is 4240 [tex]m^2[/tex].
Step-by-step explanation:
we are given
length of the two bases = 128m and 92m
height of the trapezoid = 40m
the approximate figure of the given trapezoid is given as:
__ __ __ 92 __ __ _
/ | | | \
/ | 40 |4| \
/__ _| __ __ | |__ __ __ __ \
128
Area of a trapezoid = [(a + b)/2] * height, where a and b are representing the bases of the given trapezoid.
Area = [(92 + 128)/2] * 40
= [220/2] * 40
= 110 * 40
= 4400 [tex]m^2[/tex]
Now there is a 4m wide walkway is to be constructed in that trapezoid. The pathway will be a rectangle as it has 4m width and 40m height as it is perpendicular to both the bases.
Area of a rectangle = length * width
Area = 40 * 4
= 160
Since the walkway will reduce the area of the trapezoid as it is constructed upon it therefore the wooded area after the addition of the walkway is
4400 + (-160) = 4240 [tex]m^2[/tex].
Right answer will be marked brainlist .
Robert takes out a loan for $7200 at a 4.3% rate for 2 years. What is the loan future value?
Answer: should be 7819.20
explanation:
7200 * .043 * 2 = 619.20
7200 + 619.20 = 7819.20
If you move a decimal to the left 3 times will the numbers increase in value
Answer:
The number will decrease in value
Step-by-step explanation: For example if we had 638.23 if I move the decimal to the left 3 times it would be .63823, and if we add zeros it would look like this, 0.63823 so the number would decrease in value
If a square had a area of 49cm^2 then what would be the perimeter?
Find the volume of this triangular pyramid.
Answer:
volume = 80 in³
Step-by-step explanation:
base area = 8 x 6 x 0.5 = 24 in²
volume = 24 x 10 x 1/3 = 80 in³
If S=4 [tex]\pi[/tex] [tex]r^{2}[/tex] the value of S When R= 10[tex]\frac{1}{2}[/tex]
6,336 ft in league?
Answer:
0.3475905 in league
yo i need help please no links i just need the correct answer to pass this
Find the measure of C to the nearest tenth of a degree
help me with the whole problem plssss i do anything plss.
Answer:
8 people can go
Step-by-step explanation:
A local hamburger shop sold a combined total of 711 hamburgers and cheeseburgers on Monday. There were 61 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Monday?
Answer:
772 hamburgers sold on monday
Step-by-step explanation:
add the problem
NEED HELP!! 50 points!!!
Answer: 3, The initial velocity of the rocket
Answer:
the initial velocity of the rocket
Step-by-step explanation:
Can someone plzzz helppp meee!!!
Answer:
Step-by-step explanation:
Find the perimeter and thank
Answer:
12
..................................................
Step-by-step explanation:
2 + 2 + 1 + 2 + 1 + 4 = 12
Answer:
12 centimeters
Step-by-step explanation:
The double dashes are both the same number. Since the base is 4cm and they have to be two of the same number, the double dashes are each 2cm long. Meanwhile, the height is 2cm, and the single dashes are two of the same numbers (but not 2cm, because that's what the double dashes are). So, each dash must be 1cm long. When you add them up: [tex]4+2+2+2+1+1=12[/tex]