Samantha invested $670 in an account paying an interest rate of 5.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,740?
Answers
Answer:
17 years
Step-by-step explanation:
The formula for the value of an account earning compound interest can be used to find the number of years. That formula is ...
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r compounded n times per year for t years.
__
Solving for t, we find ...
A/P = (1 +r/n)^(nt) . . . . . . divide by P
log(A/P) = nt·log(1 +r/n) . . . . take logarithms
t = log(A/P)/(n·log(1 +r/n)) . . . . . divide by the coefficient of t
For the given values, the time required is ...
t = log(1740/670)/(365·log(1 +0.055/365)) ≈ 17.353
It would take about 17 years for the account value to reach $1740.
_____
Additional comment
The time-value-of-money (TVM) apps of your calculator or spreadsheet can be used to find the time period of interest. Here, setting P/Y = 1 gives N in years.
Related Questions
Studies indicate that 10.5% of the US population has diabetes. A producer of medical devices is developing a test for diabetes diagnosis: a positive test suggests that a person has diabetes, a negative test suggests that a person does not have diabetes. However, medical tests can give false results: in particular, the probability that this test gives a negative result for a person who actually has diabetes is 0.05, while the probability that the test is positive for a person who in fact does not have diabetes is 0.10.1. What is the probability that the test gives a positive result for a person who is known to have diabetes? 2. What is the probability that a person has diabetes, given that the test gives a positive result?
Answers
Answer:
The answer is "0.95 and 0.5271".
Step-by-step explanation:
[tex]p (d) = 0.905 \\\\p( false\ negative) = 0.05\\\\p(false \ positive ) = 0.10 \\\\[/tex]
In point a)
p ( positive diabetes )[tex]= 1 - 0.05 = 0.95[/tex]
In point b)
[tex]p(\frac{d}{+ve}) = \frac{0.105 \times 0.95}{0.105 \times 0.95 +0.895 \times 0.10 }[/tex]
[tex]=\frac{0.09975}{0.09975+0.0895}\\\\=\frac{0.09975}{0.18925}\\\\= 0.5271[/tex]
The high temperatures for two consecutive days were 83°F and 79°F. If the average(mean) high temperaature, including a third day, was greater than 82°F, then what was the high temperature on the third day? Write an inequality representing the problem.
Answers
Answer:
83F+79F+X
----------------- >82F
3
Step-by-step explanation:
X is the unknown temp, which is the third day. adding all those up and dividing that by 3 will give you the average. if the average is above 82F, then you just add a > symbol showing that its higher than 82F
PLEASE HELP!!!!!!! WILL GIVE BRAINLIEST
Answers
Answer:
16 inches
Step-by-step explanation:
What we know:
The equation y = 3/4x shows the diameter of a trees in x inches gained in y years.
We know y, which is 12, so this becomes x = 4/3y (or x = 4y/3)
x = 4(12)/3
x = 48/3
x = 16
The predicted diameter will be 16 inches.
(Just put 16 in the blank.)
Find the value of this expression if x = 7 and y= -2
xy^2/9
Answers
7(−2)^2 /9
7(−2)^2 /9
= 28 /9
the answer above this is wrong if you’re using Plato
solve this ...BABABOOEY
Answers
Answer:
The answer is G because everything in the problem adds up to G
Answer:
Yes i will solve BABABOOEY
Step-by-step explanation:
What is the difference of the polynomials?
I will give 40 points
Answers
Answer:
im answering this for the points and also u lied about how many points i would be getting. -.-
Step-by-step explanation:
answer is C i think
Answer:
7x^{2} +3y^{2} -4x
Step-by-step explanation:
12-5=7
-11-(-14)=3
-13-(-9)= -4
so it will be [tex]7x^{2} +3y^{2} -4x[/tex]
A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping.
The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each
topping. How many toppings need to be added to a large cheese pizza from
Palanzio’s Pizzeria and Guido’s Pizza in order for the pizzas to cost the
same, not including tax?
Answers
Answer:2
Step-by-step explanation:
.9x+6.8
.65x+7.3
Find x by graphing it
Whoops wrong question
Please help I'll give brainlest
Which of the following is 1,215 divisible by? Select all that apply.
A.3
B.2
C.9
D.10
E.5
F.8
G.4
H.6
Answers
Answer: A,C,E
Step-by-step explanation:
All of the other answers give you a decimal.
Answer:
ACEStep-by-step explanation:
A
1215 divided by 3 = 405
B
1215 divided by 9 = 135
C
1215 divided by 5 = 243
*The other answers can give a decimal answer.
help !! ill give 10 point for answer !!
What is the value of y in the solution of the system?
x + y = 3
y = -6x + 3
Answers
Step-by-step explanation:
x + y = 3 ------------ eqn 1
y = -6x + 3 ---------- eqn 2
Substitute -6x + 3 for y in equation 1
x - 6x + 3 = 3
Evaluating we have,
-5x = 3 - 3
Evaluating further,
x = 0
Substitute 0 for x in equation 1
0 + y =3
Make y subject of formula
y = 3 - 0
y = 3
Hope this helped!
Tyler works at an appliance store. He gets paid a salary of $500 a week, plus commission. He gets paid 5% in commission for the first $1000 in sales and 7% commission for sales over $1000. Last week, he sold $3500 in appliances. How much money did he make last week?
Answers
Answer:
Step-by-step explanation:I think it is 5005
Please Help me with this question please please. I will mark brainliest.
Answers
Answer:
its just 22
Step-by-step explanation:
can somebody help me please ..
Answers
Answer: Red
Step-by-step explanation:
The y intercept is -2 so its either green or red
the slope is positive so its red
what is the value of d+3
Answers
Answer:
you need to explain
Step-by-step explanation:
Help I’ll mark you brainly! And give extra points!
Answers
Answer: I think #2 is either A or C
Step-by-step explanation: Hope it helped! :)
Help me find the radius please
Answers
Answer:
You have to state the question or have an attachment on your question so we can answer it
To approach a runway, a plane must begin a 7° descent starting from a height of 5 miles above the ground. To the nearest mile, how many miles from the runway is the airplane at the start of this approach?
41 mi
54 mi
82 mi
46 mi
Answers
Thanks have a great day god bless you
Answer:
41
Step-by-step explanation:
Can somebody help me ??
Answers
Answer:
y = 98
z = 21
Step-by-step explanation:
in the picture, y and 82 are supplementary angles because the are same side interior angles. This means that we can create this equation:
y = 180 - 82
we get y = 98
<Y and <4z + 14 are vertical angles, so we can also say that they are equal to each other. So we can create this equation:
4z + 14 = 98
subtract 14 from both sides:
4z = 84
divide both side by 4 to find z:
z = 21
Answer:
y = 82
z = 21
Step-by-step explanation:
You can get y almost immediately.
82 and y are supplementary. Interior angles on the same side of the transversal = 180
82 + y = 180 Subtract 82 from both sides
y = 180 - 82
y = 98
y and 4z + 14 are equal.
y = 4z + 14 Substitute for y
98 = 4z + 14 Subtract 14 from both sides.
98-14 = 4z
84 = 4z Divide by 4
84/4 = 4z/4
21 = z
Solve for x: 1/3 (x-22) = 4x
x = -2
x = 34
x = 2
x = -10
Answers
Answer:
x=-2
Step-by-step explanation:
Warren Anderson's annual salary is $54,500. His personal exemptions total $1,500. The annual tax
withheld is: 1.5 percent of the 1st $1,000, 3.0 percent of the next $2,000, 4.5 percent of the next $2,000, and
5.0 percent over $5,000. How much is deducted annually for state income tax?
A. $2,400
B. $2,565
C. $2,725
D. $2,890
Answers
Answer:
B. $2,565
Step-by-step explanation:
The y-intercept of 2x - y = 6 is -6.
O False
True
Answers
Answer:
It is true
Step-by-step explanation:
Convert to slope-intercept form:
2x-y=6
-y=6-2x
y=-6+2x
y=2x-6
Since y=mx+b is the form we want, then b=-6, making the statement true.
Answer:
true
Step-by-step explanation:
you switch the 2x to the other side to get -y = 2x + 6
then you multiply everything by -1 to get y = -2x-6
-6 is the y int
a) What is the equation of line A?
b) What is the equation of line B?
Answers
Answer:
Line A is x = -3
Line B is y = 2.5
Step-by-step explanation:
Helpppppppppppppppppppoppppppoo
Answers
Answer:
Step-by-step explanation:
abc=80, abm= 100
acb= 40, acn= 140
angle a = 60
x=80, y=40
Answer:
x = 80° y = 40°
Step-by-step explanation:
ABC = 80° ACB = 40°
ABC+ACB+A = 180° (sum of angles in a triangle = 180°)
80+40+A = 180°
A = 60° (sum of angles in a triangle = 180°)
X = 80° (ALTERNATE ANGLES, angles x is alternate to angle ABC = 80° )
y = 40° (alternate angles, angle y is alternate to angle ACB = 40°)
to cross-check : sum of angles on a straight line = 180°
x+ y + A = 180sum of angles on a straight line = 180°
80+40+60 = 180°
ABM = 100° = (sum of angles on a straight line = 180°)
80° + 100° = 180°
ACN = 140° (sum of angles on a straight line = 180°)
40° + 140° = 180°
The length of a box as reported by its manufacturer is 13.67 cm. Joe has a ruler which has markings for each millimeter. Which most likely represents the length of the box that Joe is able to measure?
Answers
Answer:
Option (3)
Step-by-step explanation:
Joe has a ruler which has markings for each millimeter, so the least measurement which Joe can do is in millimeter.
Since, 10 mm = 1 cm
Therefore, 1 mm = 0.1 cm
This rule states that Joe can measure a length or distance in nearest tenth of a cm only.
If length of a box = 13.67 cm,
So Joe can measure it as 13.7 cm approximately.
Therefore, Option (3) will be the answer.
you love to play pool at the local hall if it costs $10 just to play plus $2.30 per game played what is the most number of games that you can play in one night on $50
Answers
Answer:
4
Step-by-step explanation:
or 17
10 to enter i assume and then 2.30 per game
12.3 everytime u play
50/12=4
Find the area and perimeter of the original planned patio and the new planned patio. MIT HINDI MT Luis decided to make the patio 2 feet longer. The drawing shows his new plans for the patio. New planned patio 8 feet 10 feet 2 feet
Answers
Answer:
original
perimeter - 36 feet
area - 80 square feet
new patio
perimeter - 40 feet
area - 96 square feet
The formula for the lateral area of a right cone is LA = rs, where r is the radius of the base and s is the slant height of the cone. Which are equivalent equations? Select two correct answers. s = s equals StartFraction L A Over pi r EndFraction. s = s equals StartFraction pi r Over L A EndFraction. s = LAr r = r equals StartFraction L A Over pi s EndFraction. r = LAs
Answers
Complete Question
The formula for the lateral area of a right cone is LA = πrs, where r is the radius of the base and s is the slant height of the cone. Which are equivalent equations? Select two correct answers.
a) s = s equals StartFraction L A Over pi r EndFraction.
b) s = s equals StartFraction pi r Over L A EndFraction.
c) s = LAr
d) r = r equals StartFraction L A Over pi s EndFraction.
e) r = LAs
Answer:
a) s equals StartFraction L A Over pi r EndFraction.
d) r = r equals StartFraction L A Over pi s EndFraction.
Step-by-step explanation:
The formula for the Lateral Surface Area of a right cone is given in the question as:
LA = πrs
Where
r is the radius of the base and s is the slant height of the cone.
From the options given,
We can make s the subject of the formula.
Hence:
Making s the subject of the formula
LA = πrs
Divide both sides by πr
s = LA/πr
Hence: Option a) s equals StartFraction L A Over pi r EndFraction. Is correct.
Step 2
Making r the subject of the Formula
LA = πrs
Divide both sides by πs
r = LA/πs
Hence: Option d) r equals StartFraction L A Over pi s EndFraction. Is correct.
Answer:
The answer is A and D.
Step-by-step explanation:
I took the quiz !
plz help! WILL GIVE BRAINLIEST
Answers
Answer:
3x+7=y
Step-by-step explanation:
Two linear functions are combined with addition, and then the same two linear functions are combined by
multiplication.
Which functions could be the result of the combinations? Select two options.
16x - 12
17x - 12
72x2 - 96x
72x2 – 108x
72x2 - 204x + 144
Answers
Which expression can be used to find 1/2 of 12
Answers
12/2
Explanation: either one is right. It just depends on your options.
Expression can be used to find 1/2 of 12 is 1/2*12
How to find how much percent 'a' is of 'b'?Suppose a number is 'a'
Suppose another number is 'b'
We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
[tex]\dfrac{a}{b} \times 100[/tex](in percentage)
Given;
P= 1/2 => 5/10 => 50/100
b= 12
substituting in the formula;
a/12 = 50/100
putting the value of 50/100 from given
a/12= 1/2
a= 1/2*12
Therefore, the correct answer will be 1/2*12
Learn more about percent here:
https://brainly.com/question/11549320
#SPJ5
HELP PLZ
You don’t have to solve all of them just do the ones you know!
Answers
Complimentary angles equal to 90
Adjacent angles are connected by a vertex and side
Vertical angles are opposite of each other on two intersecting lines
A1 is 64° more than A2, so A1 + 64 = A2
Input that into the equation.
A1 + A1 + 64= 180
2A1 = 116
A2 = 58
A1 = 58+64, 122
90 = A1 + A1 +20
70 = 2A
35 = A2
55 = A1
Complimentary angles equal to 90.
A1 is 49, so 90-49= 51.