Kylie invested $290 in an account paying an interest rate of 2.5% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $390?
Answer:
t= 11.9
Step-by-step explanation:
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
A=390\hspace{35px}P=290\hspace{35px}r=0.025
A=390P=290r=0.025
Given values
390=
390=
\,\,290e^{0.025t}
290e
0.025t
Plug in
\frac{390}{290}=
290
390
=
\,\,\frac{290e^{0.025t}}{290}
290
290e
0.025t
Divide by 290
1.3448276=
1.3448276=
\,\,e^{0.025t}
e
0.025t
\ln\left(1.3448276\right)=
ln(1.3448276)=
\,\,\ln\left(e^{0.025t}\right)
ln(e
0.025t
)
Take the natural log of both sides
\ln\left(1.3448276\right)=
ln(1.3448276)=
\,\,0.025t
0.025t
ln cancels the e
\frac{\ln\left(1.3448276\right)}{0.025}=
0.025
ln(1.3448276)
=
\,\,\frac{0.025t}{0.025}
0.025
0.025t
Divide by 0.025
11.8506326=
11.8506326=
\,\,t
t
t\approx
t≈
\,\,11.9
11.9
Round to the nearest tenth of a year
solve
y=-x+3
y=x^2+1
Answer:
[tex] - x + 3 = {x}^{2} + 1[/tex]
[tex] {x}^{2} + x = 2[/tex]
Answer:
Step-by-step explanation:
1st y=-x+3
Let's solve for x.
y=−x+3
Step 1: Flip the equation.
−x+3=y
Step 2: Add -3 to both sides.
−x+3+−3=y+−3
−x=y−3
Step 3: Divide both sides by -1.
−x/−1= y−3/−1
Answer:
x=−y+3
2nd queastion: y=x^2+1
In the image
Hope this helps :)
PLS BRAINLIEST
WILL GIVE BRAINLIEST Screen-printing a batch of shirts requires 4 minutes per shirt in addition to 10 minutes of initial set-up time. How long does it take to screen-print a batch of 17 shirts?
Me das mas información porfavor?
ANSWER QUICK WILL GIVE 30 POINTS AND BRAINLESTT!!!!
Answer:
I got you bro so the sales tax is $0.80 and the total cost is $10.80
Answer:
Sales tax = $0.8Total cost = $10.8Step-by-step explanation:
Now we have to,
→ find sales tax and total cost.
The sales tax will be,
→ 8% of $10.00
→ (10/100) × 8
→ 80/100
→ $0.8
Now the total cost will be,
→ $10 + sales tax
→ 10 + 0.8
→ $10.8
Hence, total cost is $10.8.
hii please help i’ll give brainliest!!
Answer:
the answer is d :)
Step-by-step explanation:
Answer:
3 one thats the answer its going up and down
A frying pan has a radius of 14 cm. What is the circumference of the pan?
Answer:
119.381cm
Step-by-step explanation:
C=2πr
2π * 14cm = 38πcm or 119.381cm
[tex]45=9^{\sqrt{x} }[/tex]
Solving Exponential equations using logs. Round any decimal answers to the hundredths
Answer:
Step-by-step explanation:
a= b^c << === >> logb(a) = c
a b c
Convert 45 = 9^√x << === >> log9 (45) = √x
1.7324867604 = √x
3.0 = x squared both sides
I used a log calculator on the internet when a Gaggled log calculators
Tell whether the number is a solution of the inequality. Write YES or NO and show work
Answer:
No
Step-by-step explanation:
x - 8 ≤ -10, x = 5
Plug x =5 into the inequality.
5 - 8 ≤ -10
Simplify.
-3 ≤ -10
False, so the answer is no.
2y to the power of 4 x 5y to the power of 3
Answer:
(2•5y to the 7th power)
Step-by-step explanation:
Step 1: (2y to the 4th power • 5) • y to the 3rd power
Step 2: (2•5y to the 4th power) • y to the 3rd power
Step 3: 3.1 y to the 4th power multiplied by y to the 3rd power = y to the (4 + 3) power = y to the 7th power
Final answer: (2•5y to the 7th power)
The expression [tex]2y^{4} * 5y^{3}[/tex] is equal to 10[tex]y^{7}[/tex].
What is Multiplying Exponents?When two expressions with exponents are multiplied, it is called multiplying exponents. The multiplication of exponents involves certain rules depending upon the base and the power.
What is multiplication of exponents with same base and different power?When the terms with the same base are multiplied, the powers are added, i.e., [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{{m+n}}[/tex]
According to the question
[tex]2y^{4} * 5y^{3}[/tex]
Now,
Using the multiplying exponent rule :
the terms with the same base are multiplied, the powers are added, i.e., [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{{m+n}}[/tex]
Therefore,
As, base y is common in both the terms
= 10[tex]y^{4+3}[/tex]
= 10[tex]y^{7}[/tex]
Hence, the expression [tex]2y^{4} * 5y^{3}[/tex] is equal to 10[tex]y^{7}[/tex].
To know more about multiplying exponent here:
https://brainly.com/question/219134
#SPJ3
Help :)))) please it would mean alot
A cube has an edge length of 10 centimeters. What is its volume, in cubic centimeters?
Answer:
1000
Step-by-step explanation:
10 x 10 x 10 = 1000
Answer:
1000 cm³
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ( s is the edge length ) , then
V = 10³ = 1000 cm³
A bird is gliding at 40 meters per minute. How long, in minutes, will it take the bird to travel 160 meters?
Answer:
4 minutes
Step-by-step explanation:
160/40 = 4
Answer:
Step-by-step explanation:
40
h
Explanation:
We're asked to find the time it takes an object (bird) to travel
1800
km
at a constant speed of
45
km/h
.
We have our simplified speed equation:
speed
=
distance
time
Rearranging for time:
time
=
distance
speed
We're given:
speed
=
45
km/h
distance
=
1800
km
Plugging these in:
time
=
1800
km
45
km
h
=
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
40
l
h
∣
∣
−−−−−−−−−
The journey will take
40
l
hours
.
Help pLLEAAASSEE LOLOLOL
1. Find the slope of the line graphed below.
A. ½
B. 2
C. -1/2
D. -2
Answer:
the answer is c, hope this helps
Which equation represents a circle that contains the point (-5, 3) and has a center at (-2, 1)? Distance formula: vaa -02 (x - 1)2 + ( + 2)2 = 25 (x + 2)2 + (-1)=5 O (* + 2) + (-1) - 25 (x-1) + ( + 2) = 5
Given:
The center of the circle = (-2,1).
Circle passes through the point (-5,3).
To find:
The equation of the circle.
Solution:
Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]r=\sqrt{(-5-(-2))^2+(3-1)^2}[/tex]
[tex]r=\sqrt{(-5+2)^2+(2)^2}[/tex]
[tex]r=\sqrt{(-3)^2+(2)^2}[/tex]
On further simplification, we get
[tex]r=\sqrt{9+4}[/tex]
[tex]r=\sqrt{13}[/tex]
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, (h,k) is the center of the circle and r is the radius of the circle.
Substitute h=-2, k=1 and [tex]r=\sqrt{13}[/tex].
[tex](x-(-2))^2+(y-1)^2=(\sqrt{13})^2[/tex]
[tex](x+2)^2+(y-1)^2=13[/tex]
Therefore, the equation of the circle is [tex](x+2)^2+(y-1)^2=13[/tex].
The following M & M colors are in the bowl: 4 yellow, 6 orange, 3 green, 5 blue, 2 brown. What is the probability of selecting a brown candy?
Answer:
1/10
Step-by-step explanation:
4+6+3+5+2=20
so there are 2 brown M&M's
=2/20
= 1/10
I hope this helps a little bit.
Which could be the side lengths of a 30°-60°-90° right triangle?
A 2, 3, 2
B 13, 2/3, 3
C 3, 3, 32
D 3,3/3, 613
Answer:
None of these could be a 60-30 right triangle
Step-by-step explanation:
A) is a 45-45 right triangle and the hypotenuse is too short
a² + b² = c² 2² + 2² ≠ 3²
B) 13 is way too long
C) 32 too long 3² + 3² ≠ 32²
D) really 613 no way
Given the equation of the line -6x + 2y = 10
Answer:
x= 1 /3 y+ −5 /3
y=3x+5
Step-by-step explanation:
brainliest?
Answer:
Give my man brainliest
Step-by-step explanation:
Don't report this
what's
[tex]99 - 11 × 9[/tex]
Answer:
the answer is 0
Step-by-step explanation:
9×(_11)asw_99
Answer:
0 Ans .....
Step-by-step explanation:
Solution:
=99-11x9
=99-99
=0 Anwers ...........
One of the legs of a right triangle measures 5 cm and its hypotenuse measures 10 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer: 12 cm
Step-by-step explanation:
If one of the legs of a right triangle measures 5 cm and its hypotenuse measures 10 cm. Then the measure of the other leg will be 8.66 cm.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
One of the legs of a right triangle measures 5 cm and its hypotenuse measures 10 cm.
Then the measure of the other leg will be
10² = 5² + B²
100 = 25 + B²
B² = 75
B = 8.66 cm
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ2
1 + 1 = ? help now please asap!
Question:
1 + 1 = ? help now please asap!
Answer:
1 + 1 = 2
hope this helps :)
what is the formula for finding the magnitude of a line?
Answer:
See below
Step-by-step explanation:
The magnitude of a line can simply be found by the distance formula:
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH18072. Simplify 2x + 16 + 5x – 10
Answer: 7x + 6
Step-by-step explanation:
Combine like terms:
(2x + 5x) + (16 - 10)
Answer:
soln
2x + 16 + 5x – 10
8(x+2) + 5(x + 2)
8+2 (x+2)
10 (x + 2 )
Which is the graph of y = log (negative x)?
On a coordinate plane, a curve starts at y = negative 3 and curves up into quadrant 1. It approaches y = 3.
On a coordinate plane, a curve starts at y = negative 2 and curves up into quadrant 2. It approaches y = 2 in quadrant 2.
On a coordinate plane, a curve starts at y = 3 and curves down into quadrant 4. It approaches y = negative 3 in quadrant 4.
On a coordinate plane, a curve starts at y = 4 and curves down into quadrant 3. It approaches y = negative 3 in quadrant 3.
Answer:
b
Step-by-step explanation:
I did the test
The graph of y = log(-x) is drawn using online geogebra graphing tool and attached.
Log functionAn exponential function is in the form:
y = abˣ
Where y, x are variables, a is the initial value of y and b is the multiplication factor.
Log functions are inverse of exponential functions.
The graph of y = log(-x) is drawn using online geogebra graphing tool and attached.
Find out more on Log function at: https://brainly.com/question/13473114
what polygon is formed?
Answer:
Polygons are figures that are formed by three or more line segments. These line segments, even called sides, meet at their endpoints to form vertices. If we compare the number of sides, diagonals and triangles of a quadrilateral a pentagon and a hexagon we can find a system between the different polygons.
Step-by-step explanation:
You make $52,000 a year. Your state income tax rate is 2.5%. The state income tax allowance is $1500 per person and you have three allowances. They are yourself, your spouse and one child. How much income tax do you owe?
Answer:
1,187.50
Step-by-step explanation:
Answer:
Step-by-step expiation
we know that their is an income tax rate of 2.5%, Since their is more than one person within the household, we will multiple the tax rate by 3
2.5% = 0.025
0.025 x 3 = 0.075
Then we will multiple the tax rate by our principal,
52,000 x 0.075 = 3,900
52,000 - 3,900 = 48,100
This will then give us our answer of $3,900 for the income tax rate that is owed, and as well as their new total income.
Combine like terms.
7x + 2y - 3x + 4y
The answer is 4x + 6y.
Answer:
4x + 6y
Step-by-step explanation:
7x - 3x = 4x
2y + 4y = 6y
4x + 6y
i have homework pls help
Answer:
Triangle B
Step-by-step explanation:
It is possible to determine if a triangle contains a right angle using Pythagoras' theorem . If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.
so when we look at triangle B if we squared and then added the two shorter sides 3/7 and 4/7 we get 25/49 which is the square of the longer side 5/7
so according to the Pythagoras theorem it's a right angle triangle
Simplify . (n/(m ^ 2 * p ^ 4)) ^ (1/2)
[tex] \sqrt{a} = {a}^{ \frac{1}{2} } [/tex]
Plz help me
It algebra
a rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4 unit. How many 1/4 unit cubes does it take to fill the prism? ANSWER ASAP
Answer:
192
Step-by-step explanation:
at 1/4 unit length, each side of one cubic unit would be 4.
so each cubic unit would consist of 4x4x4 = 64 of the 1/4 cubic units.
64 x 3 = 192
Answer:
your answer will be 192
Step-by-step explanation:
hope it helps