Complete Question
If $12000 is invested in an account in which the interest earned is continuously compounded at a rate of 2.5% for 3 years
Answer:
$ 12,934.61
Step-by-step explanation:
The formula for Compound Interest Compounded continuously is given as:
A = Pe^rt
A = Amount after t years
r = Interest rate = 2.5%
t = Time after t years = 3
P = Principal = Initial amount invested = $12,000
First, convert R percent to r a decimal
r = R/100
r = 2.5%/100
r = 0.025 per year,
Then, solve our equation for A
A = Pe^rt
A = 12,000 × e^(0.025 × 3)
A = $ 12,934.61
The total amount from compound interest on an original principal of $12,000.00 at a rate of 2.5% per year compounded continuously over 3 years is $ 12,934.61.
Write the equation of the line that passes through the given points.
(0,- 4) and (2,3)
The equation of the line is( )
Answer:
[tex] \frac{y - ( - 4)}{x - 0} = \frac{3 - ( - 4)}{2 - 0} \\ \frac{y + 4}{x} = \frac{3 + 4}{2} \\ \frac{y + 4}{x} = \frac{7}{2} \\ 2(y + 4) = 7x \\ 7x = 2y + 8 \\ 7x - 2y = 8 \\ 2y = 7x - 8 \\ \boxed{y = \frac{7}{2}x - 4}[/tex]
y=(7/2)x-4 is the right answer.8n+7=31 what does n equal
Answer: n = 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
take the 7 and minus it from 31 then divide 8 from 31
x/3 - 1/2 = 10
show work
Answer:
x = 63/2
Step-by-step explanation:
x /3 = 21 /2
3 . x/3 = 3 . 21/2
x = 63 /2
In Mr. Dixon's math class, 7 out of 20 students are in the math club. What percent of the students are in the math club?
Answer:
35%
Step-by-step explanation:
(Find the area) PLEASE HELP DUE SOON
Answer: Area = 60 mm²
Step-by-step explanation:
The area of a triangle is 1/2 times base times height.
b = 12 h = 10
1/2 × b × h
1/2 × 12 × 10
1/2 × 120
60 mm²
Write a unit rate for the situation
$350 saved in 5 months
per month
Answer:
$350 / 5 months = $70 per month
help this is due rn :/
A colony of bacteria starts with 9 bacteria at noon. If the number
of bacteria triples every 20 minutes, how many bacteria will be
present at 2:40 pm that afternoon?
Simplify this expression: -2x + 3 – (5 – 6x). Can someone pls explain how to do this dont just give the awnser
Answer:
-2x + 3 – (5 – 6x) = 4x - 2
Step-by-step explanation:
The given expression is :
-2x + 3 – (5 – 6x)
We need to simplify the above expression. First opening the brackets.
-2x + 3 – (5 – 6x) = -2x + 3 – 5 + 6x
Taking like terms together,
= -2x+6x + 3 -5
= 4x - 2
So, the simplified expression is 4x - 2.
What is the area of the triangle in the diagram?
Answer:
A is the correct answer
Step-by-step explanation:
We need to figure out the base and the height. We can do that using pythagorean's theorem.
The others either misused the pythagorean theorem or got the 1/2*base*height formula wrong, so A is the answer.
What is the simplified expression for 7 power 4 multiplied by 7 power 6 over 7 power 8?
70
71
72
73
Answer:
The simplified expression of [tex]\frac{7^{4}.7^{6}}{7^{8}}[/tex] is 7² ⇒ C
Step-by-step explanation:
Let us revise some rules of exponent
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{m+n}[/tex][tex]\frac{a^{m}}{a^{n}}[/tex] = [tex]a^{m-n}[/tex]Let us solve the question
∵ The expression is [tex]\frac{7^{4}.7^{6}}{7^{8}}[/tex]
→ By using the first rule above add the exponents of 7
∴ [tex]\frac{7^{4}.7^{6}}{7^{8}}[/tex] = [tex]\frac{7^{4+6}}{7^{8}}[/tex]
∴ [tex]\frac{7^{4}.7^{6}}{7^{8}}[/tex] = [tex]\frac{7^{10}}{7^{8}}[/tex]
→ By using the second rule above, subtract the exponents of 7
∵ [tex]\frac{7^{4}.7^{6}}{7^{8}}[/tex] = [tex]7^{10-8}[/tex]
∴ [tex]\frac{7^{4}.7^{6}}{7^{8}}[/tex] = 7²
∴ The simplified expression of [tex]\frac{7^{4}.7^{6}}{7^{8}}[/tex] is 7²
the answer is 7 power 2
Write the equation of the graph shown below in factored form.
a. f(x)=(x-2)^2(x+1)(x-3)
b. f(x)=(x+2)^2(x-1)(x+3)
c. f(x)=(x+2)^2(x+1)(x+3)
d. f(x)=(x+2)^2(x-1)(x-3)
Answer:
a. f(x)=(x-2)^2(x+1)(x-3)
Step-by-step explanation:
can yall help me with this one pls
Answer:
C, D and E
Step-by-step explanation:
you have to chose an answer greater than 1
so when you subtract it from 8 it becomes less than 7
then this would would make the 7>8-y statement
Please solve these ASAP
Answer:
x=5 y=-2
Step-by-step explanation:
Thats the right way, you can use this method to find ur answer.
if possible give me a brainliest. Thanks. Good day!!
4.) Jaimee is driving to Pigeon Forge. On her map, it says this is a
distance of 9 1/4 inches away. The scale of the map is 1/2 inch = 75 miles.
How far must Jaimee travel to reach Pigeon Forge?*
Answer: 1387.5 miles
Step-by-step explanation:
hope this helps :)
Teacher chooses to students in a class of 15 girls and 10 boys the students are randomly choosing what is the probability that the teacher chooses to girls
Answer:
7/20
Step-by-step explanation:
So first we know that there are a total od 25 students
15+10=25
And the probability of choosing the first girl is 15/25 or 3/5 simpler terms.
Now to be able to choose another girl in a row just multiply the then probability
So we started off with 25, if a girl was choosen, the population would b 24
and with 24, there is a missing girl so instead of 15 it is 14
now 14/24 or 7/12 simplified
multiply the two
7/12*3/5=21/60
Simplified
7/20
A large bowl holds 5 2/3 cups of punch. Some more punch is added to the bowl to make a total of 10 cups of punch. Let represent the number of cups of punch that are added to the bowl. Write and solve an equation to find the number of cups of punch that are added to the bowl.
Answer:
4 1/3 cups
Step-by-step explanation:
All you have to do for this one is subtract 5 2/3 from 10, which is 4 1/3. Your equation could be 10-5 2/3=x.
Please Help Quick ASAP Hurry Please Solve these please this is 9th grade pre-algebra
Evaluate each expression using the values m=7, r=8 and t=2.
1. 5m-6
2. 4m+t
3. r/t
4. mt
Answer:
1. 29
2. 30
3. 4
4. 14
Step-by-step explanation:
5*7=35 35-6=29
4*7=28 28+2=30
8/2=4
7*2=14
I f x= -4, then x2 =
Answer:
-8
Step-by-step explanation:
as X2 means 2multiply X and the value of X is -4 so the and is -8
Answer:
16
Step-by-step explanation:
x= -4
x²= (-4)²= 16
hope it helps! please mark me brainliest
thank you! have a good day
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mandy flips a quater 360 times .how many time should she expect to see heads
Answer:
180
Step-by-step explanation:
what us the median temperature for the data shown in the table?
Answer:
27.3
Step-by-step explanation:
8R4 Joan was assigned to graph an absolute value function, but she forgot the 4 poi function. However, she remembers the following the y-int is (0,-7), the vertex is (3,-1). Help Joan to rewrite the original equation that she was given. * 1 Add file
Answer:
f(x)= -2|x-3|-1
(Hi Jasmine! I just wanted to help you with this question but I might be wrong)
Step-by-step explanation:
f(x) = a|x-h|+k
f(x)= a|x-3|-1
-7 = a |0-3| -1
-7 = a |-3| -1 <-- add to -7
-6 = a |-3|
-6 = 3a
-6/3 = a
-2 = a
---------------------------------- -------------------------------------------------
The equation of the absolute value is f(x)= -2|x-3|-1
Brad made a scale drawing of a rectangular room in his house. The actual length of the room is 12 4/5 ft. The scale used to make the drawing was 1/4 in = 1 ft. What is the length, in inches, of the room in the drawing?
(show work pls)
Answer:
3.2
Step-by-step explanation:
12 4/5 times 1/4= 3 1/5 or 3.2
Round the decimal equivalent of 856 1/6 to the nearest hundredth. What number is in the hundredth place PLEASE HELP
Answer:
The answer is 856.17.
Step-by-step explanation:
If you made the fraction into a decimal, you would get 856.166666666. If you round it to the nearest hundredth, you would get 856.17.
Can someone help me??? It's for extra credit
Answer:
-7 , -1Step-by-step explanation:
if the equation of line p is
4x+7y=20 then the equation of line q must be
-7 x +4y=15 because perpendicular lines have
slopes with a product of -1
A recipe for the filling in cinnamon rolls at the school cafeteria asks for
6 1/2 cups of sugar, 3 sticks of butter, and
3/4 cup of cinnamon. The baker wants to pre-mix the cinnamon and sugar. What is the total number of cups of sugar and cinnamon the baker will pre-mix?
Answer:
29/4 or 7 1/4 cups of sugar and cinnamon
Step-by-step explanation:
Create an equivalent system of equations using the sum of the system and the first equation.
−5x + 4y = 8
4x + y = 2
Answer: 829393
Bn
Step-by-step explanation:
Answer:
−5x + 4y = 8
−x + 5y = 10
Step-by-step explanation:
Rachel participated in a 12-kilometer walkathon to raise money for her favorite charity. If it took her 2.5 hours to complete it, what was the rate in kilometers per hour?
Step-by-step explanation:
here they gave 12 km are reached by 2.5 hours so we. should how much time they took for 1km
12/ 2.5 which is also 150min
12km which is also 12000
12000/150= 80m
it took 80m in 1min so
1hr = 60min
1hr x 80m
60x80
4800
convert it intlo km
4800/1000
4.8km
so it took 4.8 km for 1hour
The time to complete the race is 2.5 hours, then the rate will be equal to 4.8 kilometers per hour.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Total distance = 12 kilometers
Total time taken to complete 12 kilometers = 2.5 hours
Then, the rate in kilometers per hour will be,
= 12/2.5
= 4.8 kilometers per hour.
To know more about arithmetic operations:
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if the sales 750 and the commision rate is 5% then what is the commision
Answer:37.5
Step-by-step explanation:
5*750/100 =37.5
In the figure below, quadrilateral WXYZ - quadrilateral MNOP
Find each missing value:
Answer:
15 unitsStep-by-step explanation:
Given the two similar quadrilaterals
As per similarity, their corresponding sides have same ratio:
x/12 = 10/8x = 10*12/8x = 15MN = 15 units