Answer:
6 years
Step-by-step explanation:
Given
[tex]Initial\ Investment = 150[/tex]
[tex]Ratio = double[/tex]
Required
When will it get to 4000
This question illustrates a geometric progression and will be solved using:
[tex]T_n = ar^{n-1}[/tex]
In this case;
[tex]T_n = 4000[/tex]
[tex]r = double = 2[/tex]
[tex]a = 150[/tex]
So, we're to solve for n
[tex]4000 = 150 * 2^{n - 1}[/tex]
Divide through by 150
[tex]\frac{4000}{150} = 2^{n-1}[/tex]
[tex]26.67= 2^{n-1}[/tex]
Take Log of both sides
[tex]Log26.67= Log2^{n-1}[/tex]
Apply law of logarithm
[tex]Log26.67= ({n-1})Log2[/tex]
Take Log values
[tex]1.42602301569 = (n - 1) * 0.30102999566[/tex]
Make n - 1 the subject
[tex]n - 1 = \frac{1.42602301569}{0.30102999566}[/tex]
[tex]n - 1 = 4.73714591984[/tex]
Add 2 to both sides
[tex]n = 1 + 4.73714591984[/tex]
[tex]n = 5.73714591984[/tex]
[tex]n = 6[/tex] (Approximated)
Hence, it'll take 6 years
13.) The ratio of the weight of an object on Mars to the weight of that object on Earth is 4:10. If a rocket weighs 15 tons on earth, how many tons would it weigh on Mars? (Need help quick please)
Answer: 6 tons
Step-by-step explanation: 4:10 is also 2/5 so all we need to do is 2/5 of 15 which is 6. [15x(2/5)]
Hope this helps!
Please mark Brainliest!
-7p = -3p - 8
p =
Help
Answer:
p=2
Step-by-step explanation:
-7p = -3p - 8
Add 3p to each side
-7p+3p = -3p+3p - 8
-4p = -8
Divide each side by -4
-4p/-4 = -8/-4
p = 2
Answer:
[tex] \huge{ \fbox{ \sf{p = 2}}}[/tex]
Step-by-step explanation:
[tex] \bigstar{ \sf{ \: - 7p = - 3p - 8}}[/tex]
[tex] \underline{ \underline{ \mathfrak{Let's \: solve}}} : [/tex]
[tex] \text{Step \: 1} : \sf{Move \: 3p \: to \: left \: hand \: side \: and \: change \: it's \: sign}[/tex]
[tex] \mapsto{ \sf{ - 7p + 3p = - 8}}[/tex]
[tex] \text{Step \: 2} : \sf{Collect \: like \: terms}[/tex]
[tex] \sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base}[/tex]
[tex] \mapsto{ \sf{ - 4p = - 8}}[/tex]
[tex] \text{Step \: 3} : \sf{Divide \: both \: sides \: by \: - 4}[/tex]
[tex] \mapsto{ \sf{ \frac{ - 4p}{ - 4} = \frac{ - 8}{ - 4}}} [/tex]
[tex] \text{Step \: 4} : \sf{Calculate}[/tex]
[tex] \mapsto{ \sf{p = 2}}[/tex]
Hope I helped!
Best regards! :D
~[tex] \sf{TheAnimeGirl}[/tex]
Which is an example of deductive reasoning?
Answer:
In deductive reasoning, if the given facts are true and you apply the correct logic, then the conclusion must be true.
Step-by-step explanation:
Answer:
All even numbers are divisible by 2. The number 18 is even, so it is divisible by 2.
Step-by-step explanation:
5 x 5=? plz im dum lol
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
5 x 5 = 25
The side lengths of a rectangle are described as (8x+1) feet and (3x−2) feet. Which expression represents the area of the rectangle in square feet?
Answer:
24x² - 13x -2
Step-by-step explanation:
To get the area of a rectanglenyou have to multiply the length and the width:
(8x+1) (3x−2)
Using Foil Method:
24x² -16x + 3x -2
24x² -13x -2
The horizontal stretch by a factor of 2 and a translation 2 units up
Answer:
2 _ 3x. 14. f(x) = 4x2 + 5; horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the x-axis. 0 Replace X X 3 35+2 3 -(x+7).
Step-by-step explanation:
if de = 6x , EF =4x, and df =10 what is DE
Answer: 6
Step-by-step explanation:
Given DE, EF and DF, we know that DE and EF make up DF. We add DE and EF and set it equal to DF.
6x+4x=10 [add]
10x=10 [divide both sides by 10]
x=1
Now that we know x=1, we can plug that into DE.
6(1)=6
Now, we know that DE is 6.
How would you record the temperature indicated on the thermometer?
Answer:
i would say closer to 15.1
Step-by-step explanation:
Sorry wrong one!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
Answer: Uhhhhh no question...
Step-by-step explanation:
Answer:
heheheeheh
Step-by-step explanation:
10. The sum of the percent of dark red SUVs and white SUVs was
26.3%. What was the percent of dark red SUVs?
Answer:
it is 12.2
Step-by-step explanation:
find the slope of the line that contains passes through the points (-2,6) and (-5,-1)
Answer:
slope = [tex]\frac{7}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (- 5, - 1)
m = [tex]\frac{-1-6}{-5+2}[/tex] = [tex]\frac{-7}{-3}[/tex] = [tex]\frac{7}{3}[/tex]
graph the inequality -5 < x < 1
Answer:
B
Step-by-step explanation:
Open circle represents < and >
Since -5 is less than x, that is the starting point.
1 is greater than x, that is the end point.
Best of Luck!
these are three equations i need help with :) A. -14*(-2) B. 64/-4 (division) C. 1,256*8
Answer:
A.) +28
B.) -16
C.) 10,048
Step-by-step explanation:
-5x - 16 + 3x = -23 - 9x
???Anyone I need help
Answer:
x=−1
Step-by-step explanation:
Let's solve your equation step-by-step.
−5x−16+3x=−23−9x
Step 1: Simplify both sides of the equation.
−5x−16+3x=−23−9x
−5x+−16+3x=−23+−9x
(−5x+3x)+(−16)=−9x−23(Combine Like Terms)
−2x+−16=−9x−23
−2x−16=−9x−23
Step 2: Add 9x to both sides.
−2x−16+9x=−9x−23+9x
7x−16=−23
Step 3: Add 16 to both sides.
7x−16+16=−23+16
7x=−7
Step 4: Divide both sides by 7.
7x
7
=
−7
7
x=−1
Answer:
x=−1
Answer: x= -1
Step-by-step explanation:
what is the slope of 3y = 9 – 4x
Answer:
The slope is -4/3
I hope this helps :)
True False: Complementary angles sometimes fom straight angles
Answer:
False
Step-by-step explanation:
Complementary angles form a right angle (L shape) and have a sum of 90 degrees. Supplementary angles form a straight line and have a sum of 180 degrees.
400 thousen times 600 times 30 divide by 32 plus 1
Step-by-step explanation:
400,000x600x30/32+1
400,000x600=240,000,000x30=7,200,000,000/32=
225,000,000+1=225,000,001
Really? -_-
100 students went on a field trip. 6 buses were filled and 10 students traveled to the destination in cars with their parents. How many students were on each bus?
Answer:
15 students on each bus!
Step-by-step explanation:
100-10(with parents)
90÷6(how many busses)
15 students on each
The students travelling on each bus are 15.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
Total number of students is given as 100.
The students to travel on car are 10.
Then, the students to travel on bus are given by following operation as,
Total students - Students to travel on car
⇒ 100 - 10 = 90
Now, the students on each bus can be obtained by using the division operation as below,
Students to travel on bus ÷ Total number of bus
⇒ 90 ÷ 6 = 15
Hence, the number of students on each bus is obtained as 15.
To know more about arithmetic operation click on,
https://brainly.com/question/25834626
#SPJ2
Please help me to prove this!!!
Answer: see proof below
Step-by-step explanation:
Given: A + B + C = π → A + B = π - C
→ A + C = π - B
Use the Cofunction Identities: sin (π - A) = sin A
sin (A - π/2) = cos A
cos (π/2 - A) = - sin A
Use the Power Reducing Identity: sin ² A - sin² B = sin (A + B) · sin (A - B)
Use the Sum to Product Identity:
sin A - sin B = 2 [cos (A + B)/2] · [sin (A - B)/2]
Proof LHS → RHS:
LHS: sin² A - sin² B - sin² C
= (sin² A - sin² B) - sin² C
Power Reducing: sin (A + B) · sin (A - B) - sin² C
Given: sin (π - C) · sin (A - B) - sin² C
Cofunction: sin C · sin (A - B) - sin² C
Factor: sin C [sin (A - B) - sin C]
[tex]\text{Sum to Product:}\qquad \sin C\bigg[2\cos \bigg(\dfrac{(A-B)+C}{2}\bigg)\cdot \sin \bigg(\dfrac{(A-B)-C}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{(A+C)-B}{2}\bigg)\cdot \sin \bigg(\dfrac{A-(B+C)}{2}\bigg)\bigg][/tex]
[tex]\text{Given:}\qquad \qquad 2\sin C\bigg[\cos \bigg(\dfrac{(\pi - B)-B}{2}\bigg)\cdot \sin \bigg(\dfrac{A-(\pi - A)}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{\pi -2B}{2}\bigg)\cdot \sin \bigg(\dfrac{2A-\pi}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{\pi}{2} -B}\bigg)\cdot \sin \bigg(A-\dfrac{\pi}{2}\bigg)\bigg][/tex]
Cofunction: 2 sin C (-sin B) · (cos A)
= -2 sin C · sin B · cos A
= -2 cos A · sin B · sin C
LHS = RHS: -2 cos A · sin B · sin C = -2 cos A · sin B · sin C [tex]\checkmark[/tex]
Rick deposited $1500 in a savings account that earns 6% interest for 4 years. How much money is in his account at the end of the 4 years?
Answer:
$5820
Step-by-step explanation:
1500*6%=90 per month
90*(48months=4yrs)=4320
1500+4320=5820
Five roses cost $25 how many Roses can you purchase for $75
write a two column-proof
Answer:
1. number each step
2. start with the given informatiom
3. statements with the same reason can be combined into one step
4. draw a picture and mark it with the given information
5. you must have a reason for every statement
6. the order of the statements in the proof is not always fixed , but make sure the order makes logical sense
3 1/8% in simplest form
Answer:
3.125%
Step-by-step explanation:
1/8=0.125
3+0.125=3.125
Answer:
the answer is
1/32
Step-by-step explanation:
let me know of its right
What is the value of a?
a-2 = 3462
Step-by-step explanation:
a-2=3+6a/3
By cross multiply
3(a-2)=3+6a
3a-6=3+6a
-6-3=6a-3a
-9=3a
a=-3
7(-7x-9) + 3x+2 = -5(-3x-8) + 6
The answer needs to be a fraction! Please help - asap - Thank you!
Answer:
-107/61
Step-by-step explanation:
-49x-63+3x+2=15x+40+6
-46x-61=15x+46
61x=-107
x=-107/61
the answer is 2/3 !!
yw gl
Whoever has the best answer I will mark the brainliest.
Answer: 3,4,5,6,52,72,86,105
Step-by-step explanation: when solving the range you find the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
the time is 10 ; 34 what time will it be in 285 minutes
What is the range of the relation of centimeters as a function of inches? {5.08, 10.16, 17.78, 25.4, 33.02} all positive integers x greater-than-or-equal-to 0 y greater-than-or-equal-to 0
Answer:
y>0 Option D
Step-by-step explanation:
Answer:
The answer is D.)
Step-by-step explanation:
This is right on edg. 2020
A factory is fabricating seats for minor-league baseball stadium. The stadium holds 7500 individuals in the factory can fabricate 300 seats per day if 600 seats have already been made how long will it take for the factory to finish 7500 seats in total? Can someone help me solve this!
Answer:
23 days
Step-by-step explanation:
We are told that the stadium holds 7500 individuals.
Now, if 600 seats have already been made, It means the number of seats left to be made to complete the stadium = 7500 - 600 = 6900 seats
We are told that 300 seats can be made in a day. Thus, number of days to be used to finish the remaining seats = 6900/300 = 23 days
Thus, it will take 23 days to complete all the 7500 seats.
YALL. I NEED HELP FOR SCIENCE
Answer:
i got dis the answer is 13
Step-by-step explanation:
so its going 31 to the right minus 8 so 23 to the right. for it to get to be 10 it would be 13