Answer:
3.37 years
Step-by-step explanation:
\text{Rate 1: }4\tfrac{5}{8}\%=4+5/8=
Rate 1: 4
8
5
%=4+5/8=
\,\,4.625\%\rightarrow 0.04625
4.625%→0.04625
\text{Rate 2: }5\tfrac{1}{4}\%=5+1/4=
Rate 2: 5
4
1
%=5+1/4=
\,\,5.25\%\rightarrow 0.0525
5.25%→0.0525
890\text{ tripled is }2670
890 tripled is 2670
\text{Calculate Tripling Time for Noah}
Calculate Tripling Time for Noah
\overline{\phantom{\text{Calculate Tripling Time for Noah}}}
Calculate Tripling Time for Noah
\text{Compounded Annually:}
Compounded Annually:
A=P(1+r)^t
A=P(1+r)
t
A=2670\hspace{35px}P=890\hspace{35px}r=0.04625
A=2670P=890r=0.04625
Given values
2670=
2670=
\,\,890(1+0.04625)^{t}
890(1+0.04625)
t
Plug in values
2670=
2670=
\,\,890(1.04625)^{t}
890(1.04625)
t
Add
\frac{2670}{890}=
890
2670
=
\,\,\frac{890(1.04625)^{t}}{890}
890
890(1.04625)
t
Divide by 890
3=
3=
\,\,1.04625^t
1.04625
t
\log\left(3\right)=
log(3)=
\,\,\log\left(1.04625^t\right)
log(1.04625
t
)
Take the log of both sides
\log\left(3\right)=
log(3)=
\,\,t\log\left(1.04625\right)
tlog(1.04625)
Bring exponent to the front
\frac{\log\left(3\right)}{\log\left(1.04625\right)}=
log(1.04625)
log(3)
=
\,\,\frac{t\log\left(1.04625\right)}{\log\left(1.04625\right)}
log(1.04625)
tlog(1.04625)
Divide both sides by log(1.04625)
24.2989=
24.2989=
Calculate Tripling Time for Riley
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
A=2670\hspace{35px}P=890\hspace{35px}r=0.0525
A=2670P=890r=0.0525
Given values
2670=
2670=
\,\,890e^{0.0525t}
890e
0.0525t
Plug in
\frac{2670}{890}=
890
2670
=
\,\,\frac{890e^{0.0525t}}{890}
890
890e
0.0525t
Divide by 890
3=
3=
\,\,e^{0.0525t}
e
0.0525t
\ln\left(3\right)=
ln(3)=
\,\,\ln\left(e^{0.0525t}\right)
ln(e
0.0525t
)
Take the natural log of both sides
\ln\left(3\right)=
ln(3)=
\,\,0.0525t
0.0525t
ln cancels the e
\frac{\ln\left(3\right)}{0.0525}=
0.0525
ln(3)
=
\,\,\frac{0.0525t}{0.0525}
0.0525
0.0525t
Divide by 0.0525
20.9259=
20.9259=
How much longer for Noah to triple:
24.2989-20.9259
24.2989−20.9259
3.373
3.373
HELP ME ASAP
I NEED YOUR HELP PLS
I NEED AN ANSWER NOW
Answer:
N=21 Degrees M=122 Degrees L= 37 Degrees X=21 Degrees
Step-by-step explanation:
Add all them up then make them equal 180 degrees
9x-9 = 180
Solve
9x=180 +9
9x= 189
9x/9= 189/9
x=21
Then plug in x to find each Angle.
N (x) Degrees
N=21 Degrees
M = 6x - 4
M = 6(21) - 4
M = 126 - 4
M = 122 Degrees
L = 2x - 5
L = 2(21) -5
L = 42 - 5
L = 37 Degrees
PLS HWLP ME, I REALLY NEED IT
Answer:
E. 3×3×3×3
part b:
3×3×3×3
9×9
81
which of these is equivalent to (2^-4) * 2^-5 / 2^6
Answer:
1/2^7
Step-by-step explanation:
Answer:
1/2^7
Step-by-step explanation:
Drag tiles to match each fraction, decimal, or percent to an equivalent fraction, decimal, or percent.
Answer:
...
Step-by-step explanation:
1. 0.002
2. 308%
3. 2 6/10
Tiffany earns an annual income of $55,000. After she pays taxes, her take home pay is $41,800. What
percentage of her annual income does Tiffany pay in taxes?
Answer:
24%
Step-by-step explanation:
Taxes
t = 55000 - 41800
t = 13200
% tax
p = 13200/55000 * 100
p = 24%
Which expressions are equivalent to the one below? Check all that apply.
log(107)
A. 7.log 10
B. 1
O C. 7
D. 7. 10
Find the surface area of the triangular prism.
Answer: 125.6
Step-by-step explanation:
what percentage of simple interest returest reture must a firm get on their deposit if it wants its birr 25000 to grow to birr 26500 in 6 months?
Answer:
0.9759%
Step-by-step explanation:
26500 = 25000x^6
solve for x
x = 1.009759
This means it increases by 0.009759 which is 0.9759%
A:45
B:60
C:90
D:180
Answer:
90
Step-by-step explanation:
When you have Triangles, you have to divide your answer by two. So first, Multiply 3 x 5, which is 15. But you need to divide by two, so 15 ÷ 2 is 7.5. Then, Multiply 7.5 x 12, and now you have 90. Hope this helps!
Write an equation that represents a perpendicular line to y=-3x+5
Answer:
Example
Step-by-step explanation:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 3 3 . The equation of a perpendicular line to y=3x−5 y = 3 x - 5 must have a slope that is the negative reciprocal of the original slope.
Apen is being built that is 10 feet long and 20 feet wide. How much fencing material will be needed
Answer:
40 square feet of material
Step-by-step explanation:
Find the present value of an ordinary annuity with deposits of $14,235 quarterly for 10 years at 10.0% compounded quarterly.
What is the present value?
Please help me with this
Answer:
–x² + 12x + 5
Step-by-step explanation:
x² + 3x
–2x² + 9x + 5
The sum of the above expression can be obtained as follow:
.... x² + 3x
+ –2x² + 9x + 5
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
–x² + 12x + 5
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Thus, the sum of x² + 3x and –2x² + 9x + 5 is –x² + 12x + 5
Question
A bottle of medicine contained 300 mL. Convert this to liters.
Provide your answer below:
L
Answer:
0.3L
Step-by-step explanation:
1000mL = 1L
300mL = 0.3L
quadrilateral RUST has a vertex at R (1,5)
what are the coordinates of R after translation (x,y) ---> (x+1,y-2), followed by a dilation by a scale factor of 3, centered at the origin?
A.(6,2)
B(5,8)
C(6,6)
D.(6,9)
Answer:
D
Step-by-step explanation
translation
x1 = x+1 = 2
y1 = y-2 = 3
(2;3)
dilation
x1 = 3x = 6
y2 = 3y = 9
(6,9)
Assume that the probability of a defective computer component is 0.02. Components arerandomly selected. Find the probability that the first defect is caused by the seventh componenttested. Find the expected number and variance of the number of components tested before adefective component is found.
Answer:
0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.
The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.
Step-by-step explanation:
Assume that the probability of a defective computer component is 0.02. Components are randomly selected. Find the probability that the first defect is caused by the seventh component tested.
First six not defective, each with 0.98 probability.
7th defective, with 0.02 probability. So
[tex]p = (0.98)^6*0.02 = 0.0177[/tex]
0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.
Find the expected number and variance of the number of components tested before a defective component is found.
Inverse binomial distribution, with [tex]p = 0.02[/tex]
Expected number before 1 defective(n = 1). So
[tex]E = \frac{n}{p} = \frac{1}{0.02} = 50[/tex]
Variance is:
[tex]V = \frac{np}{(1-p)^2} = \frac{0.02}{(1-0.02)^2} = 0.0208[/tex]
The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.
The equation 12.5(x + 20) = 460 describes Steve's exercise plan for the
next 12 weeks. He wants to bike 20 miles per week and run x miles per
week for a total of 460 miles. How many miles, x, should Steve run each
week to achieve his goal?
A. 56.8 miles B. 38.4 miles. C. 35.2 miles. D. 16.8 miles
5. How are CIRCLE and CONE different?
Differences:
similraties:
Answer:
a circle is 2d and a cone is 3d and a cone has a circle on the bottom
Step-by-step explanation:
10 ft area of base 62ft 2 (squared)
Answer:
12
Step-by-step explanation:
The dot plots below show the weights of the players of two teams:
Based on visual inspection of the dot plots, which team appears to have the larger mean weight?
A. Team A
B. Team B
C. Both groups are similar.
D. Not enough information is available to draw a conclusion.
3. (G.11C) A right cylinder has a total surface area of 1301 cm?. If the diameter of
the cylinder is 10 cm, what is the height?
X
A 8 cm
B 10 cm
C 9 cm
D 12 cm
Answer:
A. 8 cm
Step-by-step explanation:
Total surface of a cylinder = 130π cm²
Diameter (d) = 10 cm
Radius (r) = 10/2 = 5 cm
Height = ?
Formula for total surface area of cylinder = 2πrh + 2πr²
Plug in the values
130π = 2*π*5*h + 2*π*5²
130π = 10hπ + 50π
130π = π(10h + 50)
Divide both sides by π
130 = 10h + 50
Subtract 50 from each side
130 - 50 = 10h
80 = 10h
Divide both sides by 10
80/10 = 10h/10
8 = h
h = 8 cm
A set of equations is given below: Equation A: y = x + 1 Equation B: y = 4x + 5 Which of the following steps can be used to find the solution to the set of equations? Ax+1 = 4x + 5 B x = 4x + 5 Cx+1 = 4x Dx+5= 4x + 1
=======================================================
Work Shown:
y = 4x+5 .... start with equation B
x+1 = 4x+5 .... replace y with x+1, due to equation A
The second step used the substitution property.
------
Alternative Viewpoint:
The variable y is equal to both 4x+5 and x+1 at the same time; therefore, the two right hand sides must be the same.
It's like saying if y = x and y = 5, then x = 5.
which expression is equivalent to
[tex]4 - ( - 7)[/tex]
A.7+4
B.4-7
C.-7-4
D.-4+7
Simplify the expression: 3(2x2 + 7x + 4) - 8x2 + 15
Answer:
-2x² + 21x + 27
Step-by-step explanation:
distribute 3 to get:
(6x² + 21x + 12) - 8x² + 15
combine 'like terms' to get:
-2x² + 21x + 27
Find Sin S, sin R, cos S, and cos R
Answer:
18/26
16/26
16/26
18/26
Step-by-step explanation:
The ratio of blue cars to red cars in a garage is 9:7. If there are 49 red cars in the garage then how many blue cars must be in the
garage?
Answer:
Blue cars, B = 63 cars
Step-by-step explanation:
Let the blue cars be B.
Let the red cars be R.
Given the following data;
Ratio of B:R = 9:7 = 9 + 7 = 16
Red cars, R = 49
To find the number of blue cars;
First of all, we would determine the total number of cars using the expression;
R = 7/16 * x = 49
7x = 49 * 16
7x = 784
x = 112 cars
Now, we can find the number of blue cars;
B = 9/16 * 112
B = 1008/16
Blue cars, B = 63 cars
x2+5x-36
What is the simplest form of
?
x² - 16
X+9
X+4.
OT
X+9
X-4
9
4
Answer:
45
Step-by-step explanation:
58928
489472
74737383737372
On a piece of graph paper, graph the line that passes through point (-2,3) with a slope of 2/3. Give me the coordinates of a first quadrant point that lies on this line, and has integer coordinates.
Answer:
Pic po nasan???????Step-by-step explanation:
-_-Math number 8.
Find the value of x
Answer:
8
Step-by-step explanation:
By intersecting chords theorem:
[tex]14(2x + 2) = 12(2x + 5) \\ \\ 28x + 28 = 24x + 60 \\ \\ 28x - 24x = 60 - 28 \\ \\ 4x = 32 \\ \\ x = \frac{32}{4} \\ \\ x = 8[/tex]
Construction workers are doing a
building project using floor plans
that have a scale of 1 cm to 2 m.
On the floor plans, a corridor is
shown with a length of 9 cm. How
many meters long will the actual
corridor?
Given:
1 cm in the plan is equal to 2 meters in real life
Length of corridor in plan = 9 cm
To find:
Actual length of corridor
Steps:
Since we know that 1 cm in plan = 2 meters
So,
9 cm = 2 * 9
length of corridor = 2 * 9
Length of corridor = 18 meters
Therefore, the length of the corridor is 18 meters
Happy to help :)
Please dont post question from primary/middle school in college