Answer:
huh? explain better
Step-by-step explanation:
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.
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:
The radius of a circle is 12 feet. What is the circle's area?
r=12 ft
Use 3.14 for .
square feet
Submit
Answer:
452.16 ft²
Step-by-step explanation:
Area = πr² = π(12)² = 144π = 452.16 ft²
Solve for the value of a in the triangle below. Round your answer to the nearest tenth
Answer:
........................
Question 5 (1 point)
Calculate the area of this composite shape. Use the ti key on the calculator. Round answer
to tenths.
10 yd
12 yd
13 yd
13 yd
Area =
yd2
99 % of the trees in our neighborhood are eucalyptus trees. The town planning commission wants to get rid of some of these trees because they spread too quickly. However, the people in my neighborhood like the trees. The commission argues that their new eucalyptus tree removal plan will cut down so few eucalyptus trees that 98% of the trees in our neighborhood will be eucalyptus trees. If the plan only involves removing eucalyptus trees, what percent of the existing trees in my neighborhood would the plan remove
Answer:
50%
Step-by-step explanation:
Let the total number of trees be T and suppose that this is made up of eucalyptus trees E and other kinds of trees, O.
Then E+O=T, and since 99% of the trees are eucalyptus trees, EE+O=0.99.
Therefore
0.99E+0.99O=E
0.01E=0.99O
E=99O.
Suppose we reduce the number of eucalyptus trees by some amount x and that the remaining number of eucalyptus trees are now 98% of the total trees.
Then we would have E−x(E−x)+O=0.98.
Therefore,
0.02(E−x)=0.98O
0.02E−0.02x=0.98O
0.02x=0.02E−0.98O
x=E−50(0.98)O
x=E−49O
x=E−49(E99)
x=5099E≈0.505050...×E.
So we end up removing a little over half of the eucalyptus trees. EDIT: Forgot to mention - removing 50.505050...% of the eucalyptus trees means that we are removing 0.50505050....×0.99T which is 0.5T or half the trees in the neighborhood.
Work out
(8×10^-2)−(4×10^-4)
Give your answer in standard form.
Answer:
7.96 x 10^2
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
The standard form of [tex]8\times10^{-2} - 4\times10^{-4}[/tex] is [tex]\frac{38}{5000}[/tex].
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, [tex]8\times10^{-2} - 4\times10^{-4}[/tex].
[tex]= \frac{8}{10^2} - \frac{4}{10^4}[/tex].
[tex]= \frac{8}{100} - \frac{4}{10000}[/tex].
[tex]= \frac{80 - 4}{10000}[/tex].
[tex]= \frac{76}{10000}[/tex].
[tex]= \frac{38}{5000}[/tex].
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Answer and explanation
Answer: c
Step-by-step explanation: because you add the x's and then add the fractions
Robert invested $7,600 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $8,600?
Answer:
the answer is 7
Step-by-step explanation:
Compounded Continuously:
A=Pe^rt
A=8600
P=7600
r=0.019
8600=7600e^0.019t
[tex]\frac{x}{y} 8600\\ 7600[/tex] =[tex]\frac{x}{y} 7600e^0.019t\\7600[/tex]
1.1315789=e^0.019t
In(1.1315789)=e^0.019t
ln(1.1315789)=
\,\,0.019t
0.019t
6.5059977=t
t=7
thxxxx byee
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.
Which one is an example of an expression?
Answer:
Step-by-step explanation:
5x+5
Answer:
the first option will the correct answer
help me plzz please please please
Answer:
Q1: 18 degrees
Q2: 60 sides
Step-by-step explanation:
The sum of the exterior angles is always 360 degrees. With this, do 360/20 to get the amount of sides that are within the shape.
360/20 --> 18 degrees.
Now with the interior angles, it can be found with the equation ((n-2) * 180 degrees) / n = Angle Given. With this, plug 174 degres into your equation.
(n-2) * 180 degrees) / n = Angle Given
(n-2) * 180 degrees) / n = 174
180n -360 / n = 174
180n -360 / 174n
360 = 6n
n = 60
It would be 60 sides.
Is 1/4 squared a rational?
Answer:
It is a rational.
Step-by-step explanation:
0.25² = 0.0625
It is a rational.
What are the possible measures of the triangles side? Select all that apply
Answer:
I believe the answer would be A and C
Step-by-step explanation:
Answer:
a,c and e
Step-by-step explanation:
Parallelogram with a measure of 74 find the value of X
Answer:
x = 74
Step-by-step explanation:
One of the properties of a parallelogram is that opposite angles are congruent. This means that the angle with a measure of (74) degrees and (x) degrees are the same, thus the following conclusion can be drawn,
x = 74
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? ?
The dollar value of a car is a function, f, of the number of years, t, since the car was purchased. The function is defined by the equation f(t)=12,000(3/4)^t.
A. How much was the car worth when it was purchased? Explain how you know.
B. What is f(2)? What does this tell you about the car?
C. About when was the car worth $6,000? Explain how you know.
Answer:
1.) 12000
2.) 6750
3.) 2.41
Step-by-step explanation:
Given the Equation :
f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t
When, car was purchased, t = 0
t = 0
f(0) = 12000(3/4)^0
= 12000 * 1
= 12000
2.)
f(2) ; this mean the worth of the car after 2 years :
f(2)=12,000(3/4)^t.
12000(3/4)^2
12000 * 0.5625
= 6750
When car will be worth 6000
f(t) = 6000
f(t)=12,000(3/4)^t.
6000 = 12,000(3/4)^t
6000 / 12000 = (3/4)^t
1/2 = (3/4)^t
Take the log of both sides :
Log(0.5) = log(0.75)^t
log(0.5) = tlog(0.75)
- 0.301029 = - 0.124938t
t = - 0.301029 / - 0.124938
t = 2.4094
t = 2.41 years
someone, please help !! these are direct and inverse variations, algebra 2. i need them asap !
Answer:
3, 20, 2, and 2.5
Step-by-step explanation:
For each question, they gave you an x and y value. If you substitute them into the equation and then solve for k, you get your answer.
On the first one, x is 12 and y is 1/4. If you put those into the equation they gave you y = k/x, you get 1/4 = k/12
3/12 is 1/4 so the first k is 3.
Second one y = k/x. x is 4 and is 5. So 5 = k/4
20/4 is 5, so the second k is 20.
This recipe makes 20 cupcakes. Deepak only wants to make 15 cupcakes. How much of each ingredient does he need? Recipe: Makes 20 cupcakes 10 ounces butter 12 ounces sugar 8 ounces flour 4 eggs
Answer:
9.6 ounces of butter, 8 ounces of sugar, 12 ounces of flour, 4 eggs
Explanation: 20 / 16 = 4/5. 16 is four-fifths of 20. So multiply 4/5 with everything.
12 * 4/5 = 9.6 ounces
10 * 4/5 = 8 ounces
15 * 4/5 = 12 ounces
5 * 4/5 = 4 eggs
i need help plz :( i don’t understand
A cooking school is teaching students how to make pasta noodles. The line plot displays how much flour each student used. How many total cups of flour did the students use to make the pasta?
Answer:
[tex]Total = 11\frac{1}{8}\ cups[/tex]
Step-by-step explanation:
Given
See attachment for plot
Required
Total number of cups used
The number of dot on each dataset represent the number of student
So, to get the total number of cups, we simply add the product of the number of cups and the number of student for each data item
So, we have:
[tex]Total = \frac{1}{8} * 6 + \frac{1}{4} * 5 + \frac{3}{8} * 2 + \frac{1}{2}*0 + \frac{5}{8} * 4 + \frac{3}{4} * 2 + \frac{7}{8} * 5[/tex]
[tex]Total = \frac{6}{8} + \frac{5}{4} + \frac{6}{8} + 0+ \frac{20}{8} + \frac{6}{4} + \frac{35}{8}[/tex]
Solve
[tex]Total = \frac{6+10+6+0+20+12+35}{8}[/tex]
[tex]Total = \frac{89}{8}[/tex]
[tex]Total = 11\frac{1}{8}\ cups[/tex]
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
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
O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x?
Answer:
x=48
Step-by-step explanation:
Please answer this math question for me
Answer:
Hello!! answer: a = 45
Step-by-step explanation:
This is a complimentary angle so we will just do 90 - 45 and get 45 because 45 + 45 = 90 Hope that helps!
Answer:
a = 45
Step-by-step explanation:
The total angle of the shape is 90°
That means you should subtract 90° from 45°
90 - 45 = 45
That's your answer!
Hope this helped :)
х
-
The table shows a proportional relationship between x and y. Which is k, the constant
of proportionality, such that y = kx?
у. x
0 0
3. 5
6. 10
9 15
12 20
Answer:C 3/5
Step-by-step explanation: the answer is not as seen on everyone’s lesson but I did the math
Please help me with full calculations
Answer:
use formula,
P(x,y)=P'(-y,x)
so.
R(-2,-2)=R'=(2,-2)
S(1,1)=S'(-1,1)
T(-1,-3)=T'(3,-1)
Step-by-step explanation:
plot R,S,T and R',S',T' in the graph
What is the total area of the figure below?
Please help me on this :) I will give brainleast
Answer:
B. 6 cans for 5.16
Step-by-step explanation:
A. 0.89$ for 1 can
B. 0.86$ for 1 can
C. 0.88$ for 1 can
D. 0.90$ for 1 can
Answer:
b
Step-by-step explanation:
store a - 0.89 each can
store b - 0.86 each can
store c - 0.88 each can
store d - 0.90 each can
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.
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