Answer:
43.2 years
Step-by-step explanation:
The formula for continuously compounded interest on a principal investment Pat a given interest rater
over time tin years is given by A = Pe^rt
P = Initial amount compounded = $12000
A = Amount compounded continuously after t years = six times it's original worth
= 6 × $12,000 = $72000
r = Interest rate = 4.15%
t = time in years = ?
Making t the subject of the formula
t = ln(A/P) / r
First, convert R percent to r a decimal
r = R/100
r = 4.15%/100
r = 0.0415 per year,
Then, solve our equation for t
t = ln(A/P) / r
t = ln(72,000.00/12,000.00) / 0.0415
t = 43.175 years
Approximately t = 43.2 years
The time required to get a total amount of $ 72,000.00 from compound interest on a principal of $ 12,000.00 at an interest rate of 4.15% per year and compounded continuously is 43.2years.
A pet store sells cats for $50 and dogs for $100. In only one day it sells a total of 4 pets and makes $300, find out how many cats and dogs it sold by writing as a system of equations and graphing to solve it.
Answer:
$1,350
Step-by-step explanation:
. $50 = Cats
. $100 = Dogs
. Total of pets = 4
. $300 for 4 pets
100 + 50 = $150 = how many dogs and cats cost in all
4 x 300 = $1,200 = how many pets in all, not just dogs and cats costs
1,200 + 150 = $1,350
Answer: 1,350
I tried
i need help and explanations with #13-16
Reetaj Almajahed
November 11
ASSIGNMEMTS
(1) Simplify the expression:
x² - 7x - 8
X² - 68
(2) Expand and Simplify:
(a) 4(2x - 1) - 3(3x - 5)
(b) (2x - 3y)(3x+4y)
Answers: (1) x + 1
x + 8
(2) (a) 9 - x (b) 6x² - 12y² - xy or 6(x² - 2y²) - xy
How many ways can you write 410 as the sum of 4 different 3-digit numbers, assuming order does not matter?
Urgent please help..
Answer:
x ≈ 7.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtract Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Identify
Angle θ = 37°
Opposite Leg = x
Adjacent Leg = 10
Step 2: Solve for x
Substitute in variables [tangent]: tan37° = x/10[Multiplication Property of Equality] Multiply 10 on both sides: 10tan37° = xRearrange equation: x = 10tan37°Evaluate: x = 7.53554Round: x ≈ 7.5The Smith's went to a restaurant for dinner. Their bill was $72.35. If Mr. Smith wants to leave a 20% tip, how much is the total bill? Help!!!
Answer:
I think it is 14.47
Step-by-step explanation:
20 percent of 72.35 is 14.47
Answer:
The answer is 86.82$
Step-by-step explanation:
You multiply 72.35 by 0.2 which would equal 14.47$
Then you add 72.35 + 14.47
86.82
Hope this helped
Suppose a charity received a donation of $27.7 million. If this represents 31% of the charity's donated funds, what is the total amount of its donated funds?
Round your answer to the nearest million dollars.
Answer:
27.7 = 31%
0.89354838 = 1%
89.3548387 = 100%
89 million dollars
Find the slope of the line passing through the point (-6,7) and (-6,-8).
The gradient/slope is undefined.
using the gradient formula, [tex]m=\frac{y2-y1}{x2-x1}[/tex],
[tex]\frac{-8-7}{-6-(-6)}[/tex]
try solving this and you'll get the answer "math error". this is because -6-(-6) is -6+6, which equals 0. anything divided by zero is infinite.
Find Gh if ABG ~ CDG, GH is an altitude of ABG, GI is an altitude of CDG, BG =5, DG= 10, and GI=7
Answer:
a. 3.5
Step-by-step explanation:
Since ∆ABG is similar to ∆CDG, therefore, their corresponding side lengths are proportional to each other.
Therefore:
DG/BG = GI/GH
10/5 = 7/GH (substitution)
Cross multiply
GH*10 = 7*5
GH*10 = 35
Divide both sides by 10
GH = 35/10
GH = 3.5
please help me with the question thats on the picture!!
Find the missing number
4 81 18 36 49 42 64 25 ?
Answer:
Step-by-step explanation:
what happen you find the square root of the two number then you find their product
square root of 4=2
square root of 81= 9
hence, 9x2=18
therefore,
square root of 64= 8
square root of 25= 5
hence, 5x8= 40
giving us the next number
2feet 8incher+1foot6incher=
Answer:
Answer is 50 Inches or 4 feet, 2 inches
Step-by-step explanation:
First I would make everything inches so that it's easier:
2 feet is 24 inches, 1 foot is 12 inches
Then, add everything:
24+8+12+6 = 50 inches
You can leave the answer like this, or convert to feet again: (since there are 12 inches in a foot, divide 50 by 12. It's easiest to keep it as a mixed number.)
50/12 = 4 2/12
Answer is 50 Inches or 4 feet, 2 inches
If p(x) = 2x2 – 4x and q(x) = x – 3, what is (p circle q) (x)?
2x2 – 4x + 12
2x2 – 16x + 18
2x2 – 16x + 30
2x2 – 16x + 15
Answer:
2x^2 - 16x + 30
Step-by-step explanation:
Here, we want to get the composite function;
p•q(x)
All we have to do here is to replace the x value in p(x) by the totality of q(x)
we have this as ;
= 2(x-3)^2 - 4(x-3)
= 2(x^2 -6x + 9) - 4(x-3)
= 2x^2 -12x + 18 -4x + 12
= 2x^2 - 16x + 30
Answer:
Its C
Step-by-step explanation:
Need help solving this D:
Answer:
Step-by-step explanation:
i don’t understand this
Answer:
x=7
Step-by-step explanation:
You would set them equal to each other and solve for x.
We set them equal to each other becuase they are congruent.
Answer:
x=7
Step-by-step explanation:
we know that both degrees are equal to each
other so we set (17x-10)=(15x+4)
Let's solve your equation step-by-step.
17x−10=15x+4
Step 1: Subtract 15x from both sides.
17x−10−15x=15x+4−15x
2x−10=4
Step 2: Add 10 to both sides.
2x−10+10=4+10
2x=14
Step 3: Divide both sides by 2.
2x
2
=
14
2
x=7
Answer:
x=7
Emergency! Find the measure of angle A
Answer:
57
CosA = (14/26)
A = Cos⁻¹ (14/26)
A = 57
A shipping container will be used to transport several 50-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27000 kilograms. Other shipments weighing 12900 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xx, the number of 50-kilogram crates that can be loaded into the shipping container.
Answer:
69<20
Step-by-step explanation:
270 a a
def it is th9s bbc ew feh
Can someone help me with 3 n 4
Answer:
What's the question??
Step-by-step explanation:
What is 7x2? Please help! I need it!
Answer:
7 x 2 is 14.
Step-by-step explanation:
Its the same thing as 7 plus 7.
The Multiplication of 7 and 2 results to 14.
What is Multiplication?The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.
We have to multiply 7 x 2.
So, we can either add 7 two times as
= 7 + 7
= 14
or we can multiply it
= 7 x 2
= 14
Learn more about Multiplication here:
https://brainly.com/question/11527721
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Please help i only have like 10 more minutes!:)
Denise has 24 baseball cards in her collection.
She collects 9 baseball cards per month.
Write and solve an equation to find the number of
months it will take Denise to have a total of 150
baseball cards in her collection.
Answer:
14 months
Step-by-step explanation:
150 - 24 = 126 then divided by 9 which = 14 so it will take 14 months to get 150
A turtle can swim 20 meters in 4 seconds. At this rate, how many meters can the turtle swim in 10 minutes?
Answer:
3,000 meters
Step-by-step explanation:
10*60=600/4=150*20=3000 meters (I highly doubt a turtle can swim three kilometers in 10 min... especially if it's a box turtle).
If 55 Canadian Dollar = 157 Qatari Riyal and 1 Qatari
Riyal = 30NC, how much Canadian Dollar is equal to Rs.2870?
Answer:
5cd=157qr
1cd=157/55qr
or
qr=55/157cd
Step-by-step explanation:
1qr=30nc
55/157×cd=30nc
55/157×1/30×cd=1nc
1nc=0.011670cd
rs2870=0.01167×2870cd=33.49cd
₹2870 is equal to 33.49 CD.
Given that, 55 Canadian Dollars=157 Qatari Riyal and 1 Qatari Riyal=30NC.
We need to find how much the Canadian Dollar is equal to ₹2870.
How to convert Canadian dollars to rupees?The Canadian dollar is the currency of Canada. It is abbreviated with the dollar sign $, or sometimes CA$, Can$ or C$ to distinguish it from other dollar-denominated currencies. It is divided into 100 cents.
Converting the Canadian Dollar to rupees use 1 NC=0.011670 CD.
1 QR=30 NC
55/157 CD=30 NC
55/157×1/30×CD=1 NC
1 NC=0.011670CD
₹2870=0.01167×2870 CD=33.49 CD
Therefore, ₹2870 is equal to 33.49 CD.
To learn more about rupees visit:
https://brainly.com/question/24085908,
#SPJ2
How many solutions do -5n=3-5n have
Answer:
none
Step-by-step explanation:
if you try to get n to one side they would cancel each other out so there is no solution
Answer:
Step-by-step explanation:
-5n=3-5n
+3=+3-5n
-2n=6
/2=/2
n=3
In a concert hall, there are 22 seats in the first row. There are 27 seats in the second
row, 32 seats in the third row, and 37 seats in the fourth row,
If the number of seats in each row follows the pattern described above, which
recursive function defines the number of seats in the nth row?
John earns a point on 75% of his free-throw tries during basketball practice. If John takes 76 free-throw shots during practice, how many points will he earn?
Answer:
have a good day
Step-by-step explanation:
you deserve it ;)
can i have some help pls
The ratio of boys to girls in a class is 7:5. There are 36 students in the class. How many students are girls?
Answer:
15 girls
Step-by-step explanation:
In all, there are 7+5 = 12 equal groups of students in the class, that in total make 36 people.
So there are 3 students in each small group.
Answer.
There are 7*3 = 21 boys and 5*3 = 15 girls.
Adele has 12 stickers. She splits them evenly among e envelopes. Write an expression that
shows how many stickers are on each envelope.
Answer:
12/e (12 divided by e)
Answer:
12/e
Step-by-step explanation:
What is the surface area of the box
(6.2 times 10 exponent -2) times (2 times 10 exponent 6)
Answer:
[tex]→(6.2 \times {10}^{ - 2} ) \times (2 \times {10}^{6} ) \\ = (6.2 \times 2) \times ( {10}^{ - 2} \times {10}^{6} ) \\ = 12.4 \times {10}^{( - 2 + 6)} \\ =12.4 \times {10}^{4} = \boxed{124000}✓[/tex]
124000 is the right answer.Answer:
124000
Step-by-step explanation:
John has a large number of pennies, dimes, and quarters. How many ways can he make $1.00out of his coins? Note that order doesn’t matter.
Answer:
28 ways
Step-by-step explanation:
28 ways
