An investment of $100 is now valued at $149.18 the interest rate is 8% compounded continuously about how long has the money been invested
question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested
Answer:
5.2 years
Step-by-step explanation:
Applying
A = P(1+R/100)ⁿ.......................... Equation 1
Where A = amount, P = principle, R = rate, n = time.
From the question,
Given: A = $149.18, P = $100, R = 8%
Substitute these values into equation 1 and solve for n
149.18 = 100(1+8/100)ⁿ
149.18/100 = (1+8/100)ⁿ
1.4918 = (1+0.08)ⁿ
1.4918 = (1.08)ⁿ
Taking the Logarithm of both side
Log(1.4918) = Log(1.08)ⁿ
Log(1.4918) = nLog(1.08)
n = Log(1.4918)/Log(1.08)
n = 0.1737/0.0334
n = 5.2 years.
. Which of the following is the correct algebraic representation of the translation below?
a. (x – 6, y – 5)
b. (x – 5, y – 6)
c. (x + 5, y + 6)
d. (x + 6, y + 5)
Answer:
D) (x+6, y+5)
Step-by-step explanation:
You can start with the top corner of triangle A
Then count up 5 units and right 6 units
Because you count vertically 5 units that means you're using the y-axis, And because you're counting up, than means the values are positive.
And because you count horizontally 6 units you're using the x-axis, And you are counting to the right so the values are positive.
Down vertically=Negative Y-axis Values. Up vertically=Positive Y-axis Values
Right horizontally=Positive X-axis values. Left horizontally=Negative X-axis Values
Which one is an example of an expression?
Answer:
Step-by-step explanation:
5x+5
Answer:
the first option will the correct answer
Jenna ordered four pizzas for $8.55 each, including tax. If she wanted to give a
15% tip, what would her total bill be?
Given:
Cost of each pizza including tax = $8.55
Number of pizzas = 4
Tip = 15%
To find:
Her total bill.
Solution:
We have,
Cost of 1 pizza including tax = $8.55
Cost of 4 pizza including tax = [tex]4\times \$8.55[/tex]
= [tex]\$34.2[/tex]
It is given that she wanted to give a 15% tip. So, tip is 15% of $34.2.
[tex]\dfrac{15}{100}\times \$34.2=\$5.13[/tex]
Thus, the amount of tip is $5.13.
Now the total amount of bill is:
[tex]\text{Total amount of bill}=\text{Cost including tax}+\text{Tip}[/tex]
[tex]\text{Total amount of bill}=\$34.2+\$5.13[/tex]
[tex]\text{Total amount of bill}=\$39.33[/tex]
Therefore, the total amount of bill is $39.33.
What is the LCM of 4 and 8
Answer:
8
Step-by-step explanation:
Let me make a table for you.
4,8,
8,
8 would be your answer.
Let me know if i can help you more!
X+2y=0
12y= -6x
Plzzz this is due 11:59
Answer:1. X+2y=0 answer:−2y 2. 12y= -6x answer:x=−2y
Step-by-step explanation:
Divide using a common factor of 5 to find an equivalent fraction for ten tenths
one fifth
two fifths
five-tenths
two halves
Answer:
the correct answer is two halves
Step-by-step explanation:
10/10 divided by 5 is 2/2
Jose has 200 baseball cards. He has the Topps brand which he paid $1.50 each, Upper Deck Company brand which he paid $5.75 each, and Panini Group brand which he paid $2.60 each. He has 20 fewer Upper Deck Company brand than Panini Group brand. The total amount he spent was $589.50. How many of each brand of baseball cards does he have?
Answer:
Jose has 70 Panini, 50 Upper Deck, and 80 Topps cards.
Step-by-step explanation:
Given that Jose has 200 baseball cards, and he has the Topps brand which I have paid $ 1.50 each, Upper Deck Company brand which I have paid $ 5.75 each, and Panini Group brand which I have paid $ 2.60 each, and he has 20 fewer Upper Deck Company brand than Panini Group brand, and the total amount he spent was $ 589.50, to determine how many of each brand of baseball cards does he have, the following calculation must be performed:
100 Panini + 80 Upper Deck + 20 Topps = X
100 x 2.6 + 80 x 5.75 + 20 x 20 x 1.5 = X
260 + 460 + 30 = X
X = 750
80 Panini + 60 Upper Deck + 60 Topps = X
80 x 2.6 + 60 x 5.75 + 60 x 1.5 = X
208 + 345 + 90 = X
X = 643
60 Panini + 40 Upper Deck + 100 Topps = X
60 x 2.6 + 40 x 5.75 + 100 x 1.5 = X
156 + 230 + 150 = X
X = 536
70 Panini + 50 Upper Deck + 80 Topps = X
70 x 2.6 + 50 x 5.75 + 80 x 1.5 = X
182 + 287.5 + 120 = X
X = 589.5
Therefore, Jose has 70 Panini, 50 Upper Deck, and 80 Topps cards.
Please help me with this. And my teacher said to show your work so what do I have to do and she said on paper please help thank you!
Answer:
Step-by-step explanation:
V=H x W x L so 11.25= H (1.5) (2); 3H=11.25 so the height of one box is 3.75’
To find the volume of 5 stacked boxes multiply the volume of one box by 5.
5(3.75 x 1.5 x 2) which is 20.25 cubic feet.
Based on equation of the line of best fit how much money should Millie expect to earn if he works a five hour shift?
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]x = 5[/tex] ---- 5-hour shift
Required
The expected earnings
The question is incomplete, as the equation is not given. A general way to solve this, is to substitute the value of x in the equation, then solve for the y variable.
Take for instance, the equation is:
[tex]y = 10x + 2[/tex]
The expected earnings will be:
[tex]y = 10*5 + 2[/tex]
[tex]y = 50 + 2[/tex]
[tex]y = 52[/tex]
Expected Earnings = $52
Someone please help me!!!
Charles says that the number line shows all the values that make the inequality
n2-1 true. Do you agree with Charles? Explain.
4 5
-3 -2 -1
0 1 2 3
Answer:
no
Step-by-step explanation:
n ≥ - 1
The inequality states that n is greater than or equal to - 1
To show the equal part on the number line the point at - 1 must be a solid circle, not an open one
No, the given number line does not represent the number line shown by Charles.
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
The inequality is given by Charles,
n ≥ -1
But in the given number line, the value of n is not defined as 1, but Charles inequality consists of the value of n = 1, so the given number line does not represent the number line shown by Charles.
Thus, the given number line does not represent the number line shown by Charles.
Learn more about number line here:
brainly.com/question/17683084
#SPJ2
How do you solve 12*0.2^8=x ?
Answer:
[tex]x = 3.072 * 10^{-5}[/tex]
Step-by-step explanation:
[tex]x = 12*0.2^8[/tex]
[tex]x = 12 * 2.56E-6 = 0.00000256[/tex]
[tex]x = 3.072E-5 = 0.00003072[/tex]
FREEEE POINTS REALLY
Answer:
x is less than 46
x<46°
Step-by-step explanation:
............
Complete the following sentence. x = x' cosθ - y'sinθ where x’ and y’ are _____.
rotated points
original points
translated points
vertex points
Answer:
ROTATED POINTS
Step-by-step explanation:
HOPE IT HELP MHUW
Kim and Ben are planting a garden. Kim plants 24 flowers in 2 hours. Ben plants 33 flowers in 3 hours. Whose rate is faster?
What is the total area of the figure below?
Ayuda plis contesten los que saben porfis
Answer:
13 c
Step-by-step explanation:
15+6=21
21+3=24
24-7=17
17-4=13
i really need help on this i’m confused
A phone case, which originally
costs $14.50, is on sale for 32% off.
What is the cost of the phone case
after the discount? ?
What is the equation of the following line? Be sure to scroll down first to see
all answer options
Answer:
y= -4x
Step-by-step explanation:
i need help plz :( i don’t understand
the sum of two numbers is 19 and their diffrence is 3
Answer:
8 and 11
Step-by-step explanation:
May I have help to figure out how to do this? It is confusing! :(
Answer:
it should be 80%
Step-by-step explanation:
I hope this helps
can 5,7 and 13 make a triangle
Answer:
No
Step-by-step explanation:
5+7=12
12>13 X
13+5=18
18>13 YES
13+7=20
20>5 YES
If all equations were true, it would make a triangle, but since only 2 are true, it doesn't make a triangle.
---
hope it helps
The length of a rectangle is 5 inches and the width is 7 inches. What is the area of
the rectangle?
Answer:
35 inches
L×W=A
length×width=area
Answer:
35
Step-by-step explanation:
A = wl
7 x 5 = 35
Mark as Brainliest
What percent of the dogs and cats sold were dogs? a 70% b 22% c 55% d 45%
Answer:
im going to say c 55%
Step-by-step explanation: please let me know if its wrong so i can fix it thanks
Tell if the number is rational or irrational. 3.65028
Answer:
Irrational
Step-by-step explanation:
Answer: YES
Explanation: 3.65028 is a terminating decimal, or decimal that ends, and all terminating decimals are rational numbers.
Amy is baking her famous pies to sell at the Town Fall Festival. She 1 point
uses 32 /4 cups of flour for every 1/2 batches of pie that she makes. How
many cups of flour would Amy use for 7 batches of pie?
A. 21 1/2 cups
B. 112 7/8 cups
C. 150 72 cups
D. 225 34 cups
Answer:
Step-by-step explanation:
A
Can someone please show me how to do this, I know the answer is 125 a^3 b^2.
The question is shown below in a picture I’m not sure how to do it please explain!
Answer:
Step-by-step explanation:
5^4 = 625. I hope your calculator will do this.
625 / 5 = 125
There is a more general way to do this which will be in harmony with the rest of the question.
5^4 / 5^1 = 5^(4 - 1) = 5^3 = 125
b^4 / b2 = b^(4 - 2) = b^2
a remains as it is at a^3
So the answer is 125 a^3 b^2