Answer:
$4179
Step-by-step explanation:
3,100*.029= 89.9
89.9*12=1,078.80
3,100+1,078.80=4,178.80
4,178.80 rounded to the nearest dollar= 4179
The amount of money in the account after 12 years would be $4,371.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
To calculate the amount of money in the account after 12 years, we need to use the formula for continuously compounded interest, which is:
A = P[tex]e^{rt}[/tex]
where A is the final amount, P is the principal (initial amount invested), r is the annual interest rate, and t is the number of years the money is invested.
In this case, the initial amount invested is $3,100, the annual interest rate is 2.9%, and the number of years is 12.
Plugging these values into the formula, we get:
A = $3,100 × [tex]e^{0.029 \times 12)[/tex]
A = $3,100 × [tex]e^{0.348}[/tex]
A = $3,100 × 1.41
A = $4,371
Therefore, the amount of money in the account after 12 years, to the nearest dollar, would be $4,371.
To learn more about Compound interest click here:
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The sum of two numbers is 30 and their difference is 4. Find the numbers
Answer:
17 and 13
Step-by-step explanation:
So you can set up an equation:
let x be the greater number
this means that the smaller number would be 4 less than x, because their difference is 4, so x - 4.
The sum is 30, so x + (x - 4) = 30
Then, solve:
x + (x - 4) = 30
x + x - 4 = 30
combine like terms
2x - 4 = 30
add 4 to both sides
2x = 34
divide both sides by 2
x= 17
Now you know the greater number is 17. Since they have a difference of 4, you can do 17 - 4 = 13 to get the smaller number.
The numbers are 17 and 13
8/t; t=4 rkrrkrkkrkrkrkrkr
Answer:
yes 12
Step-by-step explanation:
beeeppppppp
I need help plz help!
Answer:
bad quality man im sorry
Step-by-step explanation:
Reasoning: Write a function g(x) to represent the translated graph. f(x) = 3x + 7 translated 4 units up.
Answer:
I am pretty sure its g(x) = 3x + 11
Jane used $68 more than two-fifths of her last paycheck to purchase a new surfboard. If the surfboard cost $289, find the amount of her paycheck
Answer:
552.5
Step-by-step explanation:
2/5x + 68 = 289
2/5 x = 289 - 68
2/5x = 221
x = 221 * 5/2 = 552.5
I hope im right!!!
GIVING BRAINLIEST
The table shows the temperature at noon of four towns for 2 days.
Player
Temperature Temperature
Day 1 (°F) Day 2 (°F)
Mimstown
4 -6
Pikeville
-9 -1
Jackson
-4 3
Lancaster
6 14
Which town had the SMALLEST change in temperature between the two days?
jackson
Step-by-step explanation:
Number 12 AND QUICKKKK
Answer:
id say A
because its an opened circle, and when its opened its usually not with the little dash and there's no negative number (that i know of)
A box of oranges weighs 4 kg. If one orange weighs 80 g, how many oranges are in the box?
Answer:
50 oranges
Step-by-step explanation:
4 kg is 4000 g
then, you would:
4000/80
= 50 oranges
The radius of a circle is 13.8 cm. Find the circumference
to
the
nearest
tenth
Answer:
86.7
Step-by-step explanation:
the circumference = 2 x pi x radius
13.8x2.3.14=86.7
Answer:
87
Step-by-step explanation:
there you go
PLZZZ ANSWER I BEG U
Graph a line with a slope of 2 that goes through the point (4, 8).
To graph a line, plot two points on the line.
Answer:
Step-by-step explanation:
HELP MEHHH, WILL MARK BRAINLIEST!!! NEED ANSWER TO Q 3
the measurement of the angle between West 1st Street and North Main Street is 30 ° less than the measurement of the angle between West 1st Street and South Main Street what is the measurement of the angle between North Main Street and East 1st Street
60 °
75 °
90 °
105 °
Answer:
105
Step-by-step explanation: because when you look at North main Street and East 1st Street the angle is obtuse and 105 is the only obtuse angle.
Marcus paid for 5 pairs of rare Jordan's to be delivered. Each pair cost $143.95. Marcus paid $74.25 for delivery. What is the total amount Marcus paid?
Answer:
$794.10
Step-by-step explanation:
Marcus paid for 5 pairs of rare Jordan's to be delivered. Each pair cost $143.95. Marcus paid $74.25 for delivery. What is the total amount Marcus paid?
The total amount Marcus paid is calculated as
A = $143.95 × p + $74.35
Where p = Number of pairs of rae Jordans delivered = 5
Hence,
A = $143.95 × 5 + $74.35
A = $719.75 + $74.35
A = $794.10
Therefore, the total amount Marcus paid is $794.10
Is the function even,odd, or neither
Answer:
even :D
Step-by-step explanation: :D
Help me please I’m struggling
Answer:
305
Step-by-step explanation:
sorry if im not right
giving brainliest Here are the coordinates of rectangle PLAY: (-11,20), (-11,-3), (-1,20), (-1,-3). Find the perimeter of this rectangle. See if you can figure out its side lengths without plotting the points.
Answer:
perimeter equals 66
sides: 23,23,10 10
You buy a computer for $3,000. Its value depreciates by 8% every month. Write an equation to represent the situation. How much is your computer worth after 3 years?
Answer:
y=3,000(0.92)^x
Step-by-step explanation:
your computer is worth $2, 336.04
Evaluate the following expression
8 to the power of 3–9•2 divided by 3
Answer:
0.485 in decimals
Lance put $40,000 into a bank account that pays 3% interest every 4 months. How much money will Lance have after 5 years?
Answer:
$600,000
Step-by-step explanation:
interest = 3/100 × 40,000 = $1200
4 months = 1/3 years
[tex]p = \frac{100 \times i}{rt} = \frac{100 \times 1200}{3 \times \frac{1}{3} } = 120000[/tex]
$120,000 in 1 year
5years, 120,000×5 = $600,000
Answer:
here u go
Step-by-step explanation:
$600,000
Step-by-step explanation:
interest = 3/100 × 40,000 = $1200
PLEASE HELP I HAVE 10 MINUTES AND IM STUCK ON THIS!
Answer:
y = 3x
Step-by-step explanation:
y = 3 and x = 3 doesn't touch 0, 0
Megan used a 30% off coupon to purchase a sweater. If she saved $14.40, what was the original price of the sweater?
Answer: 18.72
Step-by-step explanation:
14.40*1.3
Answer: 48$ was the original price of the sweater.
Step-by-step explanation:To find this answer, I divided the coupon discount by the discounted price (14.4) and got 48.00, to double check, I then multiplied the number by the discount number and got 14.4
The art club has a goal to raise at least $500 by selling paintings to the student body for $15 each. They have already spent $70 buying paint. Which inequality could be used to find the number of paintings the art club needs to sell to reach their goal?
Answer:
15x - 70 = 500
Step-by-step explanation:
A sphere has a radius of 4 feet. What is the volume of the sphere? Express your answer in terms of pi.
The volume of the sphere is ___ pi.
Question 2
A spherical balloon has a diameter of 4 feet. Approximate how many cubic feet of air this balloon holds?
Use 3.14 as an approximate for pi and give a numerical answer.
The balloon can hold ____ cubic feet of air.
Hong Wu means what?
great ruler
leader of peasants
father of dynasties
vast military power
Answer:
Hong Wu means...
Step-by-step explanation:
The last one
Answer:
Its D
Step-by-step explanation:
Carlos needs to buy 6 pens and some colored pencils for school. He has $25 to spend. If the pens cost $3.25 each, how much does Carlos have left to spend?
Answer:
He will have $5.50 left to spend.
Step-by-step explanation:
anybody know this i'll give you brainliest
[tex]\sqrt{5}[/tex] is in between 2 and 3
[tex]\sqrt{105}[/tex] is in between 10 and 11
[tex]\sqrt{99}[/tex] is in between 9 and 10
[tex]\sqrt{27}[/tex] is in between 5 and 6
[tex]\sqrt{2}[/tex] is in between 1 and 2
[tex]\sqrt{67}[/tex] is in between 8 and 9
[tex]\sqrt{133}[/tex] is in between 11 and 12
[tex]\sqrt{90}[/tex] is in between 9 and 10
Answer:
[tex] \sqrt{5} = 2.24[/tex]
[tex] \sqrt{105} = 10.24[/tex]
[tex] \sqrt{99 } = 9.95[/tex]
[tex] \sqrt{27} = 5.2[/tex]
[tex] \sqrt{2} = 1.4[/tex]
[tex] \sqrt{133} = 11.53[/tex]
[tex] \sqrt{90} = 9.49[/tex]
[tex] \sqrt{67} = 8.16[/tex]
without being able to read the question at the top, I can not tell you what you should do, but these are the square roots of each number.
Bobinvested$6500intoamutualfund with 3.5% monthly interest rate. What is the balance in the account after one month?
Answer:
$6727.50
Step-by-step explanation:
35/1000*6500
= 35*6.5
=227.50
6500+217.50
6727.50
The measure of the second angle is 15 degrees more than the measure of the first angle the measure of the third angle is 45 degrees more than the measure of the first angle tine the measures of the interior angles in the triangle
Answer:
The measures of the three interior angles of the triangle are {40,55,85}.
Step-by-step explanation:
Let a = the measure of the first angle of the triangle.
Let b = the measure of the second angle of the triangle.
Let c = the measure of the third angle of the triangle.
The problem statement tells us that
(1) a = a
(2) b = a + 15 and
(3) c = a + 45
Now we (should) know that the sum of the three angles of a triangle is 180 degrees. Then we get
(4) a + b + c = 180 or by substitution we get
(5) a + (a + 15) + (a + 45) = 180 or
(6) a + a + 15 + a + 45 = 180 or
(7) 3*a + 60 = 180 or
(8) 3*a = 180 - 60 or
(9) 3*a = 120
Now divide both sides of (9) by 3 to get
(10) 3*a/3 = 120/3 or
(11) a = 40
Using (2) and (3) we get
(12) b = 40 + 15 or
(13) b = 55 and
(14) c = 40 + 45 or
(15) c = 55
Always check the answer. Use (4)
Is (40 + 55 + 85 = 180)?
Is (95 + 85 = 180)?
Is (180 = 180)? Yes
The measures of the three interior angles would be as follows:
40°,55°,85°
If we assume the first angle(∠1) to be [tex]x[/tex],
so, the second angle(∠2) [tex]= x + 15[/tex]
while the third angle(∠3) [tex]= x + 45[/tex]
Through the Angle Sum Property, we know:
∠1 + ∠2 + ∠3 = 180°
By applying the above expressions, we get
[tex]x + (x + 15) + (x + 45) = 180[/tex]°
⇒ [tex]3x + 60 = 180[/tex]
⇒ [tex]3x = 180 - 60[/tex]
⇒ [tex]x = 120/3[/tex]
∵ [tex]x = 40[/tex]°
Therefore,
∠1 = 40°
∠2 = 40° + 15°
= 55°
∠3 = 40° + 45°
= 85°
Thus, the measures of the angles are 40°,55°, and 85°
Learn more about "Angles" here:
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Yusuf is preheating his oven before using it to bake. The initial temperature of the oven is 70° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 13 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?
Temp after 13 minutes:???
Temp after tt minutes:???
Answer:
temp after 13 minutes is 330 degrees
Step-by-step explanation:
70+(20/13)=260+70=330
Answer:
330 Degrees
Step-by-step explanation:
First, you will want to multiply 20 timesthe time 13. You would get 260, but don't forget about the initial temperaure of 70 so add that, and you will get 330 degrees. I hope this helps :)
12 cm
8 cm
Find the volume of the cylinder
Answer:
ubstitute the value of the radius r = 8.0 cm height h = 12.0 cm into the formula to find the volume. Pi (π) is approximately equal to 3.14 .
π x 82 cm2 x 12 cm
Raise 8 cm power of 2
π x 64.0 cm2 x 12 cm
Multiply 64.0 cm2 and 12 cm
π x 768.0 cm3
Combine π and 768.0 cm3
The result can be shown in multiple forms.
Exact Form
Volume = 768.0π cm3
∴ Volume of Cylinder radius 8 cm and height 12 cm is 768.0π cm3
Decimal Form
Volume = 2411.52 cm3
Step-by-step explanation: