Answer:
140,690
Step-by-step explanation:
89000*1.031^15=140692.188712
= 140,690
After 15 years, $141,689 would be the amount in the account.
What is continuous compound interest?Interest that compounded continuously to the principal amount. This interest rate provides exponential growth to a period of time.
Formula of continuous compound interest rate;
A = P[tex]e^{rt}[/tex],
where P is the principal amount, r is the interest rate and t is the time period.
Given:
David invested $89,000 in an account paying an interest rate of 3.1% compounded continuously.
Assuming no deposits or withdrawals are made.
P (principal) = $89,000.00
First, convert R as a percent to r as a decimal
r = R/100
r = 3.1/100
r = 0.031 rate per year,
Then solve the equation for A
A = P[tex]e^{rt}[/tex]
A = 89,000.00(2.71828[tex])^{(0.031)(15)}[/tex]
A = $141,689
Therefore, the amount is $141,689.
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Help!!!!! Please :( 5662727
Answer:
e,compound transformation
Step-by-step explanation:
f(x)=x2+3x and g(x)=2x2, find (f ∘ g)(−1).?? ?//
Answer:
20
Step-by-step explanation:
f(x)=x2+3x and g(x)=2x2, find (f ∘ g)(−1)
f(x)= (-1)(2) +3 (-1)= -2+-3= -5
g(x)= 2 (-1)2= -4
(f ∘ g)= -5 x -4= 20
Find the volume of the composite solid. Round your answer to the nearest tenth.
Answer:
646
Step-by-step explanation:
To solve this, you would need to know the volume of a sphere and volume of a cube.
Volume of a cube is L x W x H
8x8x8 which gives you 512
The volume of a sphere is [tex]\frac{4}{3} \pi (r)x^{3}[/tex]
(radius which is 8/2=4) 4/3 pi (4)^3=268.08
Because this is half a sphere, simply divide the volume by 2 and you should get 134.04.
512+134.04=646.04
=646 cm cubed
TIMED TEST EASY 6th GRADE HELP ME
What are the constant(s) in this expression?
17x + y + 12 - W + 3x?
Answer:
12
Step-by-step explanation:
17x is a coefficient
y is a variale
12 is a constant
w is a variable
and 3x is a coefficient
Determine the slope.( look at picture)
Answer:
m = 3/4
Hope that helps!
Draw a cone with a height of 9 in. and a diameter of 4 in. Find the volume. Round to the nearest tenth.
Answer:
Cone Volume = (PI * radius^2 * height) / 3
Cone Volume = (PI * 2^2 * 9) / 3
Cone Volume = 113.0973355292 / 3
Cone Volume = 37.7 cubic inches
Source: http://www.1728.org/volcone.htm
Step-by-step explanation:
The local pizzeria is charging $12.50 for a medium pizza with no toppings. Each topping costs $1.20 each. The variable, P, to represent the price and the variable, t, to represent the number of toppings. Which of the following models is correct?
a) P = 12.50t + 1.20
b) P = 1.20t + 12.50
c) t = 12.50P + 1.20
d) t = 1.20P + 12.50
Answer:
B is the correct answer!
Answer:
im thinking B
Step-by-step explanation:
Simplify 3.1+(8.6+m)
Answer:
M + 11.7
Step-by-step explanation:
Answer:
m+11.7
Step-by-step explanation:
True or false? In a two-column proof, the left column contains a series of deductions. A. True B. False
Answer:
True
Step-by-step explanation:
HELPPP PLEASE
The percent equation is___
1. whole = part x percent
2. part = percent x whole
3. part = percent / whole
Thank youuu
SAS, SSS, ASA, or AAS?
Answer:
SAS
Step-by-step explanation:
Side ST = Side Gp
angle p = angle t
and side PM = side MT
Therefore the congruency statement shows
Side
Angle
Side
aka SAS
The volume of a cone is 75 and the radius is 5 . What is the height
Answer:
Step-by-step explanation:
h≈2.86
Answer:
Volume:75 Radius:5
Step-by-step explanation:
can someone help me on this!!!
Answer:
dates
Step-by-step explanation:
bestie it is dates i am sure of it.
Which equation is represented by the graph below?
5
4+
3+
2+
t
5 4 3 -2 -11
+ +
4 5
1
2.
3
3
-27
-3+
T 17
Step-by-step explanation:
[tex]y = \frac{1}{2} e^{x}[/tex] equation is represented by the given graph.
What is graph?
"Graph is defined as the representation of relation between two variables on the coordinate plane."
According to the question,
From the observation of the graph,
for x= 0
y- intercept = [tex]\frac{1}{2}[/tex]
a. [tex]y = \frac{1}{8} e^{x}[/tex]
Substitute x = 0 in the equation we get,
[tex]y = \frac{1}{8} e^{0}[/tex]
⇒ [tex]y = \frac{1}{8}[/tex]
Therefore,
Option (a) is not the correct answer.
b. [tex]y = \frac{1}{2} e^{x}[/tex]
Substitute x = 0 in the equation we get,
[tex]y = \frac{1}{2} e^{0}[/tex]
⇒ [tex]y = \frac{1}{2}[/tex]
which is same as graph value.
Hence, Option (b) is the correct answer.
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Use the Pythagorean Theorem to find the measure of the space diagonal line in the box
picture if the length of the box "a" = 13 inches; width of the box "b" = 5 inches; and height
of the box "c"= 8 inches. * S
(10 Points)
Pythagorean Theorem Formula: a? + b2 = 2
256 inches
257 inches
258 inches
(259 inches
Answer:
14.42inches
Step-by-step explanation:
Given the following
b = 5 in
c = 8in
we are to find the measure of the space diagonal line
Using the pythagoras theoreml
l^2 = b^2 + c^2
l^2 = 13^2 - 5^2
l^2 = 169 -25
l^2 = 144
l = 12in
To get the measure of the space diagonal line in the box, we will use the pythagoras theorem;
s^2 = l^2 + c^2
s^2 = 144 + 8^2
s^2 = 144 + 64
s^2 = 208
s= 14.42inches
Hence the required length ix 14.42inches
Find the area of the shaded region. Round to the nearest hundredth when necessary.
Answer:36.48
Step-by-step explanation:
What is the Vertex?
y = x² - 8x-1
Answer:
The vertex is (4,-17)
Step-by-step explanation:
How do I find the midpoint M C(3,-5) and D(7,9)
Given:
The two points are C(3,-5) and D(7,9).
To find:
The midpoint M of the given points.
Solution:
We know that,
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Using the midpoint formula, the midpoint of C(3,-5) and D(7,9) is
[tex]M=\left(\dfrac{3+7}{2},\dfrac{-5+9}{2}\right)[/tex]
[tex]M=\left(\dfrac{10}{2},\dfrac{4}{2}\right)[/tex]
[tex]M=\left(5,2\right)[/tex]
Therefore, the midpoint M of two points C(3,-5) and D(7,9) is (5,2).
please help due soon
A = 29.745
you can use the law of sine
6(y + 8) = I need help please :)
Answer:
6y + 48
Step-by-step explanation:
Use distributive property 6 x y = 6y
(keep the plus sign btw)
6 x 8 = 48
then place it in order: 6y + 48 is your algebra expression
Answer:
6y + 48
Step-by-step explanation:
Distributive Property
6 * y = 6y + 8
PLZ HELP I NEED ITTT!!
Answer:
with what
Step-by-step explanation:
ahhhhhhh..... .,.......
PLEASE HELP!!!!!
What is x?
Answer: 84 degrees
Step-by-step explanation: I'm not quite sure how to explain this problem, sadly, but you basically add up the degrees together in the big triangle all together, and then figure out the rest.
Madison watched television for 1 hour 35 minutes. Later she read. She watched television and read for a total of 3 hours 52 minutes. How long did Madison read?
a cylinder has a height of 12 feet and a radius of 14 feet. what is its volume? use ≈ 3.14 and round to the nearest hundredth
Answer:
V = 7385.28
Step-by-step explanation:
Formula of the volume of a cylinder: V = pi*r^2*h
Since you are told to replace pi with 3.14, now plug in the numbers that you are given into the formula...
V = (3.14)(14)^2*(12)
= 7385.28
Notes: Remember you always have to divide your radius in half if it gives you a diameter, BUT since in this question it's given, you don't have to do any extra work :)
The point P = (x, 1/3) lies on the unit circle shown below. What is the value of x in simplest form?
Answer: - 2squart2/3
Step-by-step explanation:
x^ 2 + y ^ 2 = 1
x ^ 2 + (1/3) ^ 2 = 1 ^ 2
The value of x in simplest form is 2√2/3 units.
What is a circle equation?The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.
The standard equation of a circle with center at (x₁, y₁) and radius r is (x-x₁)²+(y-y₁)²=r²
Given that, the point P= (x, 1/3) lies on the unit circle
x²+ y²= 1
x²+ (1/3)²= 1²
x²+1/9=1
x²=1-1/9
x=√8/9
x=2√2/3
Therefore, the value of x in simplest form is 2√2/3 units.
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solve the equation, 4(x + 5) = 12, show the steps.
Answer:
x = -2
Step-by-step explanation:
4(x+5)=12
Distribute.
4x+20=12
Subtract 20 from both sides.
4x+20-20=12-20
4x = -8
Divide both sides by 4.
4x/4 = -8/4
x = -2
On a blueprint for a house, the scale is 3 inches = 24 feet. If the length of a room is 96 feet, how long is it on the map?
_________________________________
= 96ft ÷ 3inches= 32inches_________________________________
What is the slope-intercept equation for the following line? y = 1.4x + [? Enter
Answer:
y = -4x + -3
Step-by-step explanation:
We know the slope-intercept form is y = mx + b, and m is the slope of the line, and b is the y-intercept. To find the slope, we need to divide the difference of the y coordinates by the difference of the x coordinates. We already have the slope listed there which is very helpful, so now all we need to do is find the y-intercept (where the line goes through the y axis). If we count the lines on the y axis starting from the origin and going downwards, we see that the line passes through at (0,-3), so the y-intercept is -3. Now we replace the variables with the correct numbers, and the answer would be y = -4x + -3. I hope this helped!! :]
Lin runs 5 laps around a track in 6 minutes.
How many minutes per lap is that? Show work
The three angles of a triangle have a ratio of 5:7:13. Find the measure of each angle.
Answer:
let ratio be 5x,7x and 13x
we have
5x+7x+13x=180 sum of interior angle of the triangle is 180°
25x=180
x=180/25=36/5
Step-by-step explanation:
missing Angle are
5x=5×36/5=36°
7x=7×36/5=50.4°
13x=13×36/5=93.6°