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.
For you guys not for me- The orca weighs 4 tons. How many pounds is that
Answer:
8,000 pounds
Step-by-step explanation:
1 US ton = 2,000 pounds
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8000 pounds.1 ton is 2000 pounds
4 tons = 8000 pounds
Thanks Hope it helps.Someone help me out with this need a quick respond
Find the equation of the line
That is perpendicular to y=-2x+1 and contains the point (8,2)
Answer:
y=.5x-2
Step-by-step explanation:
If one line is perpendicular to another that means that their slopes are negative reciprocals
which means that the slope (or m in y=mx+b) is .5
so far we have
y=.5x+b
to solve for b we plug in (8,2)
2=.5(8)+b
2=4+b
-2=b
therefore our equation is
y=.5x-2
Answer:
hope it helps
stay safe healthy and happy.
A storm blew over a billboard 27 feet so that it is leaning against a pole 21 feet. How far from the base of the pole is the base of the billboard?
the base is 6ft of the billboard
You have a job interview that is 330 miles away. If your average driving speed is 55 miles per hour, how long will it take you to get there? Show your work. Check your answer.
A zip line starts on a platform that is 40 meters above the ground. The anchor for the zip line is 198 horizontal meters from the base of the platform. How long is the zip line? help grifjin
Answer:
Solution given:
perpendicular distance =height [p]=40m
base or horizontal distance [b]=198m
Hypotenuse or zip line [h]=?
Now
By using Pythagoras law
h²=p²+b²
h²=40²+198²
h=√40804
h=202m
So the Zip line is 202m long.
Which is the greatest common factor of
48 and 72?
A, 8
B, 12
C, 24
D, 48
Answer:
24
Step-by-step explanation:
Because we have to look at the GREATEST common factor.
8 and 12 are factors but they are not the greatest.
24 is the greatest common factor they both share.
5) A bag contains eight red
marbles and six blue
marbles. You randomly pick
a marble and return it to the
bag before picking another
marble. What is the
probabilty that the first
marble you picked was blue
and the second marble was
red? Record your answer as
a decimal to the
thousandths place (three
places past the decimal).
Answer:
P(B,R) = 24.490%
Step-by-step explanation:
P(B,R) = 6/14 x 8/14 which can be simplified to become 12/49 or 24.490%
A hiker has 2 pairs of hiking shoes, 3 shirts, and 5 pairs of shorts to choose from. How does the number of combinations of shoes, shirts, and shorts change as the
hiker adds a new pair of shorts to his collection? Explain.
If the hiker adds
new pair of shorts to his collection, the new number of combinations is
which is
than
The original number of combinations is
the original number of combinations.
(Type whole numbers.)
Answer: 12
Step-by-step explanation:
There are 12 different combinations
If you base it off of the 2 pairs of shoes, each one goes over each shirt twice, and each pair of shorts will go over once
Someone help me out on this one please
Answer:
Angle GHM and Angle LKJ
Step-by-step explanation:
They are both marked the same with one line.
Is 3 a solution to 3x + 5 = 5x + 6 - 2
Answer:
no
Step-by-step explanation:
it's X= 0.5
group like terms
3x - 5x = 6 - 2 - 5
simplify the equation
-2x = -1
divide through by the coefficient of X
x = 0.5
9 tickets to a theme park cost £243, how much would 7 tickets cost
Answer:
£189
Step-by-step explanation:
Divide the cost by 9 to find the cost of 1 ticket, then multiply this by 7
cost of 1 ticket = £243 ÷ 9 = £27
cost of 7 tickets = 7 × £27 = £189
WORTH 30!!!
Find the value of tan theta, if cos theta= 4/5; 0< theta < 90
Answer:
I'm almost positive that A and D are wrong but please don't kill me if I'm wrong
Step-by-step explanation:
Please help will mark brainliest
Answer:
The answer is 36.9
Step-by-step explanation:
HELP! THIS IS DUE TODAY, and i will mark brainlest!
Answer: The first one:
The graph is a function because each input has exactly one output.
Please mark brainliest. Hope this helps.
Find the area of the trapezoid
Answer:
45
Step-by-step explanation:
Which expression is equivalent to 3x - (2x + 4) + 5?
x+1
x + 9
5x + 9
5x + 1
Answer:
x + 1
Step-by-step explanation:
3x - (2x + 4) + 5
3x - 2x - 4 + 5
x - 4 + 5
x + 1
An ice cream shop offers 6 different flavors of ice cream and 11
different toppings. How many choices are possible for a single
serving of ice cream with one topping?
Answer:
66
Step-by-step explanation:
Since these two events are independent, multiply the two probabilities together:
6*11 = 66 (choices)
In Earth’s atmosphere, the speed of sound can be approximated using partial variation. The speed of sound is approximately 331 m/s at 0°C and approximately 343 m/s at 20°C.
Jenny yells out “Hello” in a canyon when the air
temperature is 10°C. It takes 1.4 s to hear her
echo. How far away is the wall of the canyon?
i need an answer...............................
Answer:
8 i think
Step-by-step explanation:
Regina owns a book store. She sold 87, 94, 91, and 84 books on the first 4 days of this week. Regina wants to have a mean of 90 books sold after 5 days NEED IT FAST
Answer:
If Regina wants a mean of 90, she needs to sell 94 books on the 5th day.
1 Pound = 16 ounces
2 Pounds 6 Ounces = blank ounces
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38 ounces.Thanks.Hope it helps.Answer:
32 ounces........
..
Step-by-step explanation:
.................A clothing store advertises that its prices are only 10% above cost. What is the store's profit on a coat that is advertised for $160?
HELLLPPPPPPPPP PLEASEEEEEEE PLEASEEEE SOMEONE HELPPPPP
A) x = 15
steps:
90 = 5x + 15
-15 -15
75 = 5x
÷5 ÷5
15 = x
explanation:
< P is 90°
so you have the equation of < P equal 90 to find the x
B) < RQP = 33
steps:
2x + 3
2(15) + 3
30 + 3
33
explanation:
now that you know what x equals you just plug in 15 for the x and solve
PleaseeEEEE helpp!!!
45 POINTS
Answer:1.85+x=5.30
Step-by-step explanation: ez
Answer:
1.85 + x = 5.30
Step-by-step explanation:
It started of at 1.85 meters
After awhile it has reached a height of 5.30
If x represents the meters the tree has grown then x + 1.85 will equal 5.30 as the tree started off at 1.85 meters and reached a height of 5.30
Mrs. Thomas has two rolls of garden edging that are each 96 inches long.
She wants to make two new flower beds in her back yard. Each flower bed
will be bordered by one roll of the edging. One flower bed will be in the
shape of a quadrilateral. The other will be in the shape of a triangle.
Please answer all parts. I will give brainliest for correct answer!
Answer:
A) The total length of each edging in her scale drawing would be 19.2 centimeters.
B) Square or rectangle
C) angle α= 53.13 degrees
angle β= 36.87 degrees
height= 32 inches
base= 24 inches
hypotenuse 40 inches.
Step-by-step explanation:
Part A:
If the roll edging is 96 inches long and the scale chosen is
5inches = 1 cm
96inches /5= 19.2cm
The total length of each edging in her scale drawing would be 19.2 centimeters.
Part B:
The quadrilaterals such rectangle square right trapezoid have a pair of 90 degrees angles.
If we choose a square shape then all sides must be equal. And we have a length of 19.2 centimeters.
Dividing 19.2 by 4 gives 4.8 cm for each side.
Figure A shows a square and has 4 sides equal and 4 right angles.
If we choose a rectangle shape then 2 sides must be equal. We have a length of 19.2 centimeters.
Suppose the length is 2 times more than the width
which will give the dimensions as
2*2 x+ 2x= 6x ( length and width denoted by x)
Dividing 19.2 by 6 gives 3.2 cm for each width and 6.4 for the lengths.
Figure B shows a rectangle and has 2 sides equal and 4 right angles.
It depends on which quadrilateral you wish to choose.
Part C:
Using Pythagorus theorem if the base and altitude are given then the hypotenuse can be found out using the following formula.
c²= a² +b²
c²= 6.4² +4.8²
c²= 40.96+23.04= 64
c= √64 = 8
The third side must be equal to 8 centimeters.
Using the formula
Cos α= base / hypotenuse
Cos α=4.8/8
α= Cos (inverse) 4.8/8
α= Cos (inverse) 0.6
α= 53.13 degrees
So angle α= 53.13 degrees
All the angles in the triangle must be 180 degrees.
α + β + 90°= 180°
And angle β= 180-90-53.13= 36.869= 36.87 degrees
The actual dimensions of this triangle are
height= a= 6.4* 5= 32 inches
base= b= 4.8*5= 24 inches
hypotenuse= 8*5= 40 inches.
1. 10x +14 y+8 37 27 +3 4y-19 X+77.
Answer:
Step-by-step explanation:
In the diagram, the measures of 23 and 27 are 45°. The measure of Z5 is 135º. Are lines cand d parallel? e 1. 2 3 d 6 5 7 8
help me pls! i'll mark u brainliest promised
Answer:
DF≅YZ
angle R≅angle N
XW≅TH
angle M ≅angle C
new coordinate=(2,1)
new coordinate=(0,2)
Reflection:
new coordinate=(5,-6)
new coordinate=(1,4)
Last one is already done
Step-by-step explanation:
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Answer:
C
Step-by-step explanation:
Sine equals opposite over hypotenuse, which would be y/19. To find y multiply by 19 to get y=19sin33°