Colton is going to invest $59,000 and leave it in an account for 10 years. Assuming
the interest is compounded daily, what interest rate, to the nearest hundredth of a
percent, would be required in order for Colton to end up with $94,000?
Answer:
4.66
Step-by-step explanation:
A=P(1+
n
r
)
nt
Compound interest formula
A=94000\hspace{35px}P=59000\hspace{35px}t=10\hspace{35px}n=365
A=94000P=59000t=10n=365
Given values
94000=
94000=
\,\,59000\left(1+\frac{r}{365}\right)^{365(10)}
59000(1+
365
r
)
365(10)
Plug in values
94000=
94000=
\,\,59000\left(1+\frac{r}{365}\right)^{3650}
59000(1+
365
r
)
3650
Multiply
\frac{94000}{59000}=
59000
94000
=
\,\,\frac{59000\left(1+\frac{r}{365}\right)^{3650}}{59000}
59000
59000(1+
365
r
)
3650
Divide by 59000
1.593220339=
1.593220339=
\,\,\left(1+\frac{r}{365}\right)^{3650}
(1+
365
r
)
3650
\left(1.593220339\right)^{1/3650}=
(1.593220339)
1/3650
=
\,\,\left[\left(1+\frac{r}{365}\right)^{3650}\right]^{1/3650}
[(1+
365
r
)
3650
]
1/3650
Raise both sides to 1/3650 power
1.000127613=
1.000127613=
\,\,1+\frac{r}{365}
1+
365
r
-1\phantom{=}
−1=
\,\,-1
−1
Subtract 1
0.000127613=
0.000127613=
\,\,\frac{r}{365}
365
r
365\left(0.0001276\right)=
365(0.0001276)=
\,\,\left(\frac{r}{365}\right)365
(
365
r
)365
Multiply by 365
0.046578745=
0.046578745=
\,\,r
r
4.6578745\%=
4.6578745%=
\,\,r
r
Convert to percent (multiply by 100)
r\approx
r≈
\,\,4.66\%
4.66%
How many hours of training would you need to have a salary of $2,620?
Answer:
80 Hours
Step-by-step explanation:
The Salary increases 200$ per 10 hours
Answer:
80 hours
Step-by-step explanation:
2620/122=10+70=80
What is spread of data on a dot plot?
Answer:
The spread is the range of the data. :)
Fiona has $998 in her savings account. If the bank pays 2.5% simple interest on savings, how much does she earn in one year?
A.
$24.95
B.
$399.20
C.
$2,495
D.
$294.86
A baseball player reaches first base 30% of the times he is at bat. Out of 50
times at bat, about how many times will the player reach first base?
(write a proportion)
Answer:
15 timesStep-by-step explanation:
The proportion is:
k = 30% = 30/10 = 3/10Out of 50 times, the player will reach first base:
50*3/10 = 15 timesTotal times
30% of 5030/100(50)0.3(50)15timesProportion
k=30%=0.3
I WILL GIVE BRANLIY IF YOU ARE RIGHT
Answer:
B
Step-by-step explanation:
Answer:
9%
Step-by-step explanation:
If You write all numbers from 30 to 65 including 30 and 65 how many times would you write the digit 4?
Answer:
We write 4 times 4 because it includes 34,44,54,64in the data.
You would write 6 times the digit 4.
What are integers?Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."
Given:
You write all numbers from 30 to 65 including 30 and 65.
And in between there are following numbers that have digit 4:
34, 40, 44, 54 and 64.
That means, we wrote 6 times digit 4.
Therefore, digit 4 would be written 6 times.
To learn more about the integers;
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Plz need help fast.....
Answer:
See Below
Step-by-step explanation:
1: -9 Take the Square Root of 81 and then multiply by -1.
2: +- 1/3 1/3 *1/3= 1/9
3: -1 -1*-1*-1 = -1
Have a Great day!
Plz help!!!
Which equation represents the graph?
Answer:
Option C : y=|x|-6
Step-by-step explanation:
Help please make the letter in the brackets the subject of each formula
Answer:
v - u = 10t
t = 1/10x(v-u)
2. 1/6 x (m - 19) = n
3. u = d/t - at
4.- 1/6 x (A - P)
T = 2.5
Step-by-step explanation:
v = u + 10t
v- u = 10t
divide both sides of the equation by 10
t = 1/10x(v-u)
2. m = 6n + 19
subtract 19 from both sides of the equation
m - 19 = 6n
divide both sides of the equation by 6
1/6 x (m - 19) = n
3. d = ut + at²
subtract at² from both sides of the equation
d - at² = ut
divide both sides of the equation by t
(d/t) - at = u
4. P = A - 6D
subtract A from both sides of the equation
P - A = -6D
divide both sides of the equation by -6
-1/6(P - A) = D
Which expression represents the phrase: 8 less than the product of 6 and a number, x?A. 8 − 6xB. 6x − 8C. (6 + x) − 8D. 8 − (6 + x)
Answer:
69 over 420
Step-by-step explanation:
trust me
HELP QUICK!!
if you know that one figure has a greater surface area than another, do you know whether it has a greater volume
Answer:
Well, it depends on their heights . If both figures have same height, then the one with greater surface area will have greater volume.
Step-by-step explanation:
Pls help I’ll brainlest
Answer:
(D) 13/15
Step-by-step explanation:
Well there are 15 marbles in total.
There are 2 marbles that are blue
The qusection asks for the probability of NOT a blue
so 13/15
For a camping trip, Jack is preparing water canteens. The canteens each hold 1/3 gallon of water.
How many canteens can Jack fill if he has 14 gallons of water?
Answer:
42 canteens
Step-by-step explanation:
1 gal = 3 canteens
14*3=42
Can someone please help me with these two I will mark u brilliant
Answer:
The first answer is $4.97. The second answer is 1 over 16.
Step-by-step explanation:
For the first question you have to subtract the money that the total price, $26.73 from the money that she has, $21.76 and you will get the find the difference that she needs.
For the second question think about it as mulitplying one quarter 4 times. So 1 multiplied four times still remains one and 4 x 4 is 16.
Please can I have help on this
Answer:
64
Step-by-step explanation:
16/2
= 8
8 x 8 x (pie)
64(pie)
Answer:
From the diagram, the radius of the circle is 8cm therefore the area is
A =
[tex]a \: = \pi {r}^{2} [/tex]
= 201.1 cm^2
A desk that is originally $130 is discounted by 45%. What is the sale price?
Answer:
$71.5
Step-by-step explanation:
130* (1-45%)
Answer:
$71.5
HOPE THIS HELPS :)
40 divided by 28! HURRY!!
Answer:
fraction~ 10/7
decimal~ 1.428571
mixed number~ 1 3/7
Step-by-step explanation: for decimal make sure to put the line over the 428571 because its an on going number
What is the difference of 100 and 10
Answer:
The difference of 100 and 10 is 90.
Step-by-step explanation:
Answer:
the difference of 100 and 10=100-10=90
A laptop has a listed price of $731.95 before tax. If the sales tax rate is 7.5%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.
HELP QUICKKKK PLEASEEE
Answer:
786.85
Step-by-step explanation:
Male and female teachers were asked whether they preferred to use a whiteboard or a projector while teaching. The responses are summarized in the table. Projector Whiteboard Total Male 22 10 32 Female 28 15 Total 25 75 What is the approximate probability that a teacher prefers projectors and is female?
Answer: c is the answer
C: 0.560
Step-by-step explanation:
Which equation has infinitely many solutions?
es
A)
8x + 3
= 2x + 4
2
B)
15x + 5
= 5x + 2
3
C)
8x45
8x + 5
= 8x + 6
2
D)
9x + 6
= 3x + 2.
3
+ 2
Answer:
its c
Step-by-step explanation:
17. Find the surface area of the sphere in terms of pi. 7 yd
Find the surface area of the sphere in terms of π 7 yd.
Solution:-We know,
[tex] \dag [/tex] Formula of Surface area of the sphere is 4πr².
Radius (r) = 7 yd (Given)
Now,
Surface area of the sphere = 4 × π × (7)²
Surface area of the sphere = 4 × π × 7 × 7
Surface area of the sphere = 196π sq. yd.
The surface area of the sphere is 196 sq. yd. [Answer]plz help FREE BRAINLIST AND ALOT OF POINTS!!
TRUE or False? .Probability works for random games of chance .
True
False
Answer:
True
Step-by-step explanation:
Pretend you are playing a marble game. All the marbles are in a bowl. You notice there are more green than red and blue marbles so you will be most likely to get the green marble.
A middle school has 220 students in each grade 6,7,8.The librarian wants to know which books are the most popular among the students in her school.
Answer:
?
Step-by-step explanation:
the choices, the question?
What is the answer to this
Answer:
4)
Step-by-step explanation:
This is in standard form. To change it to slope-intercept form, you would divide 2x by 3y and you would divide 6 by 3y. That would make the equation y = [tex]\frac{2}{3}[/tex]x + 2. y = mx + b, and slope = m, so on answer choice 4, slope would equal [tex]\frac{2}{3}[/tex].
Two planes just took off from Boston, MA. The first plane is traveling 2.5 times as fast as the second plane. After traveling in the same direction for 5 hours, they are 735 miles apart. What is the average speed of each plane? (Hint: Since they are traveling in the same direction, the distance between them will be the difference of their distances.)
Answer:
Plane 1: rate = 245 mph
Plane 2: rate = 98 mph
Step-by-step explanation:
Plane 2: Let r = rate
d = 5r
Plane 1: 2.5r = rate
d = 5(2.5r)
5(2.5r) - 5r = 735
12.5r - 5r = 735
7.5r = 735
r = 98
Step by step explanation please!!
Answer:
what do you mean on the question?
Step-by-step explanation:
Help? I forgot everything about this.
In the figure shown, KN is parallel to LM.
When comparing KJN and LJM, Tara states that
Explain why Tara’s statement is correct.
Answer:
Triangle KJN is just a scaled down version of triangle LJM, so the angles are the same.
Tara’s statement is correct because with Reflexive property angle KJN and angle LJM are congruent.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
From the given figure, KN is parallel to LM.
Here, ∠KJN = ∠LJM (Reflexive property)
Hence, Tara’s statement is correct because with Reflexive property angle KJN and angle LJM are congruent.
To learn more about the congruent theorem visit:
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line a is perpendicular to line b. if the slope of line a is 1/8, what is the slope of line b
Answer:
-8/1
Step-by-step explanation:
Perpendicular lines have opposite slopes., meaning the signs are opposite, and the numerator and denominator are flipped.
Here's another example:
If line a had a slope of 4/5, line b would have a slope of -5/4, if the lines are perpendicular.