You deposit $500 in an investment account. The rate of growth is 6% a year. If you make no further deposits or withdrawals, and the investment is allowed to grow uninhibited, how long will it take for your investment to reach $1,500? Round to the nearest tenth.
A. 18.3 years
B. 45.1 years
C. 27.6 years
D. 8.0 years
With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years thus option (A) is correct.
What is compound interest?Compound interest is applicable when there will be a change in principal amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550.
As per the given,
Principle amount P = $500
Rate of interest r = 6% annually
Total investment = P(1 + r)^T
1500 = 500(1 + 0.06)^T
300 = 1.06^T
Take natural logs on both sides
ln300 = T ln1.06
T = 18.3 years
Hence "With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years".
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Which scatterplot shows a negative correlation?
Answer:
Plot B
Step-by-step explanation:
Plot B has a negative slope.
Move each fraction to a box to make each comparison true.
The _________ in the usage of words may be a serious barrier to effective communication
Gentile, Lynch, Linder, and Walsh (2004) surveyed over 600 8 th- and 9th-grade students asking about their gaming habits and other behaviors. Their results showed that adolescents who experienced more video game violence were also more hostile and had more frequent arguments with teachers. Is this an experimental or a nonexperimental study? Explain your answer.
Answer: nonexperimental study
Instead, this is a survey
==================================================
Explanation:
We have a survey being conducted because the researchers are asking the students the questions. It's not an experiment because the students aren't being broken up into two groups (control group vs treatment group) to see the difference between the two if any.
Find the sum of the first four terms of the geometric series 5 + 50 + 500+....
The answer is 5 + 50 + 500+5000= 5555
the square pyramid shown below has a volume of 360 ft³. find the height of the pyramid
s= 8 feet
Answer:
Use MATH.WAY, it will help with any math problem
Step-by-step explanation:
Pls help this is due soon
Answer:
180⁰ 8. 20⁰ 3. rays and angle
Step-by-step explanation:
need ko po ang sagot
What is the measure, in degrees, of the highlighted angle?
Answer:
[tex]36^\circ[/tex]
Step-by-step explanation:
If you add the measures of the two marked angles, you get [tex]180^\circ[/tex]. The two angles form what some call a linear pair.
Set up and solve an equation.
4x + x = 180
5x = 180
x = 180 / 5
x = 36 degrees
what is the reciprocal of 9/7?
Answer:
its 7/9
Step-by-step explanation:
you just have to flip the fractions
Answer:
7/9
Step-by-step explanation:
Flip the fraction
Plz help me well mark brainliest if correct
Answer:
B) producers
Step-by-step explanation:
producers use water, air, and sunlight to make there own food and energy.
Find the area of the triangle. Round to the nearest tenth.
A group of 4 friends went to a sporting event. It cost a total of $12 for them to get in. How much did it cost for each of them to get in?
Answer:
$3
Step-by-step explanation:
4 friends = $12
4/12= 3
Answer:
$3
Step-by-step explanation:
12 total divided by four people meanig they each payed $3 12/4 = 3
FREE BRANLIEST PLEASE ANSWER WITH CORRECT EQUATIONS
Answer:
c.153 degrees
Step-by-step explanation:
hope it helps
Linear pairs are supplementary
m<ABD+27=180m<ABD=180-27m<ABD=153°Find the area of the figure
Answer:
75
Step-by-step explanation:
Answer:
Area of Figure = 75 sq. units
Step-by-step explanation:
Top Half-Portion: 30 sq. units
Dimensions: 6x5
6 x 5 = 30
Botton Half-Portion: 45 sq. units
Dimensions: 9x5
9 x 5= 45
45 + 30 = 75
49-3m=4m+4 bbbbbbbbbbbbbbbbbbbbbbbb
Answer:
m = 6.43 (approx. )Step-by-step explanation:
49 - 3m = 4m + 4
=> 49 - 4 = 4m + 3m
=> 45 = 7m
[tex] = > \frac{45}{7} = m[/tex]
=> 6.428571... = m
=> m = 6.43 (approx. ) (Ans)
Answer:
m = - 6 . 43
Step-by-step explanation:
49 - 3m = 4m + 4
= 49 - 4 = 4m + 3m
=45 = 7m
= 6.428571... = m
= m = 6.43
prove that; tan20+4sin20= square root of3
tan( 20 ) + 4 Sin( 20 ) =
( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =
Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =
Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =
Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =
Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =
Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =
Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =
________________________________
2 × Cos( 30 + 20 ) =
2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =
2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =
√3 Cos(20) - Sin(20)
_________________________________
Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =
Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =
Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =
0 + √3 Cos(20) / Cos(20) =
√3 Cos(20) / Cos(20) =
Cos(20) simplifies from the numerator and denominator of fraction
√3 × 1 / 1 =
√3
And we're done ....
Help pls help pls help pls
Answer: 3900[tex]\pi[/tex] ft^3
if you use the formula on how to find the volume of a cone
V=[tex]\pi[/tex]r^2*h/3
you will insert 30 where the r is, 13 in where h is, after you just solve that and your answer would be 3900[tex]\pi[/tex] ft^3
A rectangle measures 2
1
2
meters by 1
3
4
meters. What is its area?
Answer:
28408
Step-by-step explanation:
212x134=28408
PLEASE HELP IM BEING TIMED
Answer:
5
Step-by-step explanation:
x = 10 × Sin ( 30 )
x = 10 × 1/2
x = 5
Choose all the expressions that show this statement is true.
Answer:
F. or C.
Step-by-step explanation:
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what is the volume of this triangular prism
Answer:
V
≈
54.83
Step-by-step explanation:
This should be the correct answer.
What is the distance between the points (10, 2) and (14,5)?
Answer:
5
Step-by-step explanation:
We will solve using the Pythagorean theorem.
The difference in the x value is 4. The difference in the y value is 3. A nice, easy to remember, right angle triangle has sides of three, four, and a hypotenuse of five.
But we were lucky here that we could do this in our heads and from memory: 3² + 4² = 5²
The general formula would be:
distance² = (∆x)² + (∆y)²
distance = √[ (14-10)² + (5-2)² ]
= √[ 4² + 3² ]
= √[ 16 + 9 ]
= √[ 25 ]
= 5
Please help and I would really appreciate if the answer is correct
Answer:
The value for 6 is ones that's the answer
Answer:
14) 0.01 or 1/100
15) 0.06
16) 3.02
17) >
18)0.6
19) 100
20) 0.35
WILL GIVE U BRAINLIEST
What is the value of X by CPCTC?
A. 11
B. 8
C. 3
D. 7
E. Not enough info
The value of x by CPCTC is 3.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We need to find the value of x.
CPCT theorem states that if two or more triangles which are congruent to each other are taken then the corresponding angles and the sides of the triangles are also congruent to each other.
The side x is congruent to the quadrilateral having length 3.
the value of x is 3
Hence, the value of x by CPCTC is 3.
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Find the amount after the specified time. A population of 1,236 grows 1.3% per year for 10 years.
Answer:
1,406
Step-by-step explanation:
p = a(1 + r)^t
p = 1,236(1.013)^10
p = 1,406.4131692427
p = 1,406
In ΔQRS, the measure of ∠S=90°, SR = 7, QS = 24, and RQ = 25. What is the value of the tangent of ∠Q to the nearest hundredth?
Answer:tanQ=
adjacent
opposite
=
24
7
≈0.2917≈0.29
Step-by-step explanation:
trust me bro
The value of the tangent of ∠Q is 0.96.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
∠S=90°, SR = 7, QS = 24, and RQ = 25.
Using Trigonometry
tan Q = P/ B
tan Q= 24/ 25
tan Q = 0.96
Thus, the value of tan Q is 0.96.
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Does the quadratic have a maximum or minimum
vertex, and does the parabola open up or down?
A)max/ opens up
B)max/ opens down
C)min/ opens up
D)min/ opens down
Answer:
B)max/ opens down
Step-by-step explanation:
Parabola equation:
The equation of a parabola has the following format:
[tex]y = ax^2 + bx + c[/tex]
If [tex]a > 0[/tex], that is, x² is multiplied by a positive number, the function has a minimum value and the parabola opens up.
If [tex]a < 0[/tex], that is, x² is multiplied by a negative number, the function has a maximum value and the parabola opens down.
In this question:
[tex]y = -x^2 - 2x + 3[/tex]
From the graph, we already see that it opens down and has a max, and analitically, since [tex]a = -1 < 0[/tex], this is confirmed. The correct answer is given by option b.
Help please
DONT SEND ANY LINK
Answer:
This picture represents soldiers raising the flag after the battle of Iwo Jima.
Step-by-step explanation:
This famous photograph is titled Raising the Flag on Iwo Jima. It shows six soldiers raising the flag after the Battle of Iwo Jima on Mount Suribachi during the final parts of the war in the Pacific.
what is the area of the gray part of the triangle?
Area of complete triangle= 1/2 ×6 ×9 = 27 Sq Unit.
Area of rectangle inside triangle = 2× 5 = 10 sq unit.
area of the gray part of the triangle =Area of triangle - Area of rectangle = 27-10 = 17 Sq unit
Gray area = Big triangle area - white
rectangle area
Gray area = 1/2 × 6 × 9 - 2 × 5
Gray area = 3 × 9 - 10
Gray area = 27 - 10
Gray area = 17