Answer:
Michelle's age = 16
Step-by-step explanation:
As we know,
Amount = [tex]P (1 + r)^{t}[/tex] where
P = Principal amount
r = rate of interest
t = time
Given ,
P = $1000
r = 4.5 % = [tex]\frac{4.5}{100} = 0.045[/tex]
Now,
Given that Amount reaches more than $2000
⇒[tex]P (1 + r)^{t}[/tex] > 2000
⇒[tex]1000(1 + 0.045)^{t}[/tex] > 2000
⇒[tex](1.045)^{t}[/tex] > 2
Now,
we put the value of t from 0 , 1, 2, ..... untill the above equation does not satisfy
Now,
for t = 0
[tex](1.045)^{0} = 1 \ngeq 2[/tex]
for t = 1
[tex](1.045)^{1} = 1.045 \ngeq 2[/tex]
for t = 2
[tex](1.045)^{2} = 1.092 \ngeq 2[/tex]
for t = 3
[tex](1.045)^{3} = 1.14 \ngeq 2[/tex]
for t = 4
[tex](1.045)^{4} = 1.19 \ngeq 2[/tex]
for t = 5
[tex](1.045)^{5} = 1.25 \ngeq 2[/tex]
for t = 6
[tex](1.045)^{6} = 1.30 \ngeq 2[/tex]
for t = 7
[tex](1.045)^{7} = 1.36 \ngeq 2[/tex]
for t = 8
[tex](1.045)^{8} = 1.42 \ngeq 2[/tex]
for t = 9
[tex](1.045)^{9} = 1.48 \ngeq 2[/tex]
for t = 10
[tex](1.045)^{10} = 1.55 \ngeq 2[/tex]
for t = 11
[tex](1.045)^{11} = 1.62 \ngeq 2[/tex]
for t = 12
[tex](1.045)^{12} = 1.69 \ngeq 2[/tex]
for t = 13
[tex](1.045)^{13} = 1.77 \ngeq 2[/tex]
for t = 14
[tex](1.045)^{14} = 1.85 \ngeq 2[/tex]
for t = 15
[tex](1.045)^{15} = 1.93 \ngeq 2[/tex]
for t = 16
[tex](1.045)^{16} = 2.02 > 2[/tex]
It satisfies at t= 16
∴ we get
Michelle's age = 16
Help this is due today and I don’t know how to do it you please show me the steps:)
Answer:
628 inches²
Step-by-step explanation:
the equation for surface area is SA=2(lw+lh+hw) so..
1. 2×(16×14 + 16×3 + 3×14)
2. 2×(224+48+42)
3. 2×314
4. 628
Hope this helps! :)
miss violet is buying granola bars for her students. she already has 16 granola bars in her desk and needs a total of 100 granola bars. they are sold in packs of 12.how many more boxes of granola bars does she need to purchase
Answer:
She needs 7 more boxes.
Step-by-step explanation:
100-16=84
84/12=7
True or not? Id say it is...lm.ao
Answer:
true
Step-by-step explanation:
Answer:
Very good art and I think true
Step-by-step explanation:
Add f(x) = 4x-5 and g(x) = 2x
(f + g)(x)
Step-by-step explanation:
f(x) = 4x-5
g(x) = 2x
(f + g)(x)=f(x) +g(x)=4x-5+2x=6x-5
10. Jacob ran at a rate of 7 miles per hour. At this rate, how far does he run in 30 minutes?
Answer: Jakob will run 3 1/2 miles in 30 min
Step-by-step explanation: you need to take 7 in half because half of an hpur is 30 minutes so half of seven is 3 1/2 so that is the answer
Answer:
3.5 miles
Step-by-step explanation:
1 hour = 60 minutes
Proportions:
7 miles = 60 minutes
J miles = 30 minutes
J = 7*30/60
J = 3.5 miles
Complete the equations so that the solution of the system of equations is (−1, −4). y= ?X−11 6x− ? Y=10
Answer:
y = –7x – 11
6x – 4y = 10
Step-by-step explanation:
From the question given above, we obtained:
x = –1
y = –4
y = ?x – 11 ....... (1)
6x – ?y = 10b......... (2)
Let the two unknown be a and b. Thus the above equation becomes:
y = ax – 11 ......... (3)
6x – by = 10 .......(4)
Next, we shall determine the value of 'a' and 'b'. This can be obtained as follow:
For a:
y = ax – 11
x = –1
y = –4
–4 = a(–1) – 11
–4 = –a – 11
Collect like terms
–4 + 11 = –a
7 = –a
Multiply through by –1
a = –7
For b:
6x – by = 10
x = –1
y = –4
6(–1) – b(–4) = 10
–6 + 4b = 10
Collect like terms
4b = 10 + 6
4b = 16
Divide both side by 4
b = 16 / 4
b = 4
Finally, we shall substitute the value of a and be into equation 3 and 4 respectively.
y = ax – 11
a = –7
y = –7x – 11
6x – by = 10
b = 4
6x – 4y = 10
Therefore, the complete equation are:
y = –7x – 11
6x – 4y = 10
20 POINTS
Solve for p.
98 = 4p + 38
Answer:
98= 4p + 38
4p = 38 - 98
4p = - 60
P = - 60/4
P = -15
Answer:
p=15
Step-by-step explanation:
98=4p+38
(98-38)=4p
60=4p
(60/4)=(4p/4)
15=p
Solve for m∠.? Please Help!
Answer:
70
Step-by-step explanation:
Answer:
[tex] \purple {\bold {m\angle A =70\degree}} [/tex]
Step-by-step explanation:
ABCD is a trapezoid. AB || DC and AD is transversal...(given)
[tex] AD \cong BC.. (given) [/tex]
Therefore, ABCD is an isosceles trapezoid.
Measures of base angles of isosceles trapezoid are equal.
[tex] \therefore m\angle D =m\angle C[/tex]
[tex] \because m\angle C =110\degree... (given) [/tex]
[tex] \therefore m\angle D =110\degree [/tex]
[tex] m\angle A+ m\angle D =180\degree [/tex]
(interior angles on the same side of transversal)
[tex] m\angle A+ 110\degree =180\degree [/tex]
[tex] m\angle A =180\degree -110\degree [/tex]
[tex] \purple {\bold {m\angle A =70\degree}} [/tex]
Factor the expression
27 - 9x + 15y
Answer:
-3(3x-5y-9)
Step-by-step explanation:
Conjecture: The difference between two negative numbers is always negative. Write a counterexample. *
Lucas wants to prove that the base angles of any isosceles triangle are
congruent. He has drawn ADEF as shown. Which choice shows a segment
that does NOT subdivide ADEF into two congruent triangles?
Answer:
EG so that GF ≈ EF
Step-by-step explanation:
What is the sum of 2 plus 89
Answer: 91
Step-by-step explanation: 2+89=91
all you need is in the photo please
Answer:
i don't know how to answer
Step-by-step explanation:
Can someone help me please
Answer:
[tex] \sqrt{} \frac{1}{49} = \frac{1}{7} [/tex]
calculate the mean
20,15,19,16,10
Answer:
16
Step-by-step explanation:
add all the numbers together and divide by amount of present numbers
Answer:
16
Step-by-step explanation:
20+15+19+16+10= 80
80 divided by 5 is 16
to find the mean you add all of the numbers up and then divide the sum by the number of numbers there are hope this helps have a good rest of your night :) ❤
plz help plz I am already failing I dont want to fail more
Answer:
B is the closet to pi hsiebfjwjgsbe9fbe
geometry help it’s easy!!!
Answer:
c
Step-by-step explanation:
Answer:
θ = 41.81°
Step-by-step explanation:
Given
[tex]\frac{2}{3}[/tex] = sinθ , then
θ = [tex]sin^{-1}[/tex] ( [tex]\frac{2}{3}[/tex] ) ≈ 41.81°
Which statement best explains the relationship
between lines FG and HJ?
O They are perpendicular because their slopes are
equal.
O They are perpendicular because their slopes are
negative reciprocals.
O They are not perpendicular because their slopes are
equal.
O They are not perpendicular because their slopes are
not negative reciprocals.
Answer
They are perpendicular
Step-by-step explanation:
I got it right on my test
look at pic below please and figure out inverse tables
Answer:
a -1
b 1
c 3
d 2
no
Step-by-step explanation:
What is this (-43)+37+33
Answer:
27
Step-by-step explanation:
Answer:
27.
Step-by-step explanation:
(-43)+37+33
= 37 + 33 - 43
= 70 - 43
= 27.
i’ll mark brainliest
Answer:
3$
Step-by-step explanation:
What is the area.
please do not answer as a joke
Answer:
254.34 inches²
Step-by-step explanation:
The formula for area of a circle is: pi x r². The radius is half of the diameter (18) which in this case would be 9. Square it to get: 81. Multiply by pi: 81 x 3.14 = 254.34.
Hope it helps!
Answer:
I believe it is around 56.52
Step-by-step explanation:
3.14
x
18
--------
56.52
Find the absolute value:
5.34 -4 2/11 0
-6 3/5 -2.12 8.2
Answer:
Change the positive numbers to negative and change the negative numbers to positive.
Step-by-step explanation:
I hope this helps u! :D
What is 43% of 4,000
What is the price ofpremium gasoline rounded to the nearestdollar? Rounded to the nearest dime?Rounded to the nearest penny?
Answer:
$4 (nearest dollar) ;
$4.4 (nearest dime) ;
$4.41 (nearest penny
Step-by-step explanation:
The actual price of premium gasoline is $4.409 per gallon.
A penny = $0.01 or 1 cent
A dime = $0.1 or 10 cent
Price of premium gasoline to the nearest dollar :
$4.409 is rounded to the nearest unit = $4
Price of premium gasoline to the nearest penny : = $4.409 is rounded to the nearest hundredth = $4.41
Price of premium gasoline to the nearest dime : = $4.409 is rounded to the nearest tenth = $4.4
:Harley read 10 books in January, 15 books in February, 8 books in March
and 7 books in April. What is the average number of books Harley read per
month?
Answer:
I think 10
Step-by-step explanation:
you ad up the books so you would have 10+15+8+7=40. Then you divide by 4 to get the average. So it equals 10.
sally is planning a trip for 225 students
Answer:
yes i understand, but whats next? sorry but i cannot answer it
Step-by-step explanation:
Please answer!
Find the lengths of the segments with variable expressions.
Answer:
EF = 8
Step-by-step explanation:
The midsegment EF is half the sum of the parallel bases , that is
x = [tex]\frac{x-5+2x-3}{2}[/tex] ( multiply both sides by 2 to clear the fraction )
2x = 3x - 8 ( subtract 2x from both sides )
0 = x - 8 ( add 8 to both sides )
8 = x
Thus
EF = x = 8
AD = x - 5 = 8 - 5 = 3
BC = 2x - 3 = 2(8) - 3 = 16 - 3 = 13
A population of 140,000 grows 3% per year for 16 years .
How much will the population be after 16 years?
Answer:
262,000
Step-by-step explanation:
g(x) = 4(x - 5) what is g(100)
Answer:
The answer is 380
Step-by-step explanation:
[tex]g(100) = 4(100 - 5) \\ = 4 \times 95 \\ = 380[/tex]
Answer:
g(100) = 380
Step-by-step explanation:
Replace x with the given number; which in this is case is 100
g(100) = 4(100-5)
g(100) = 4(95)
g(100) = 380
hope this is right and helps :)