P = 312.50
t = 9
r = ?
P(t) = P(9) = 1250
P(t) = Pe^(rt)
P(t) = Pe^(rt)
1250 = (312.50)e^(9r)
1250/312.5 = e^(9r)
4 = e^(9r)
ln(4) = ln(e^(9r))
ln(4) = (9r)ln(e)
[cancel out the e with ln on right side]
ln(4) = (9r)
ln(4) /9 = r
0.15 = r
ANSWER: 0.15 is the interest rateThe compound interest is computed both on the principal and the interest year on year. The rate of the interest is 0.16 or 16%.
What is savings account?A savings account is a type of account where an individual can save money for future purposes.
Here we havethe following information;
Principal = $312.50
Time = 9 years
Amount = $1250.
rate = ?
Using the formula;
A = P(1 + r/n)^nt
Where n =1
1250 = 312.50( 1 + r)^9
1250/312.50 = ( 1 + r)^9
4 = ( 1 + r)^9
1.16 = 1 + r
r = 1.16 -1
r = 0.16 or 16%
Learn more about compound interest: https://brainly.com/question/9904853?
Please show me step by step how to do this
Answer:
The next three terms of the sequence are 17, 21 and 25.
The 300th term of the sequence is 1197.
Step-by-step explanation:
The statement describes an arithmetic progression, which is defined by following formula:
[tex]p(n) = p_{1}+r\cdot (n-1)[/tex] (1)
Where:
[tex]p_{1}[/tex] - First element of the sequence.
[tex]r[/tex] - Progression rate.
[tex]n[/tex] - Index of the n-th element of the sequence.
[tex]p(n)[/tex] - n-th element of the series.
If we know that [tex]p_{1} = 1[/tex], [tex]n = 2[/tex] and [tex]p(n) = 5[/tex], then the progression rate is:
[tex]r = \frac{p(n)-p_{1}}{n-1}[/tex]
[tex]r = 4[/tex]
The set of elements of the series are described by [tex]p(n) = 1 + 4\cdot (n-1)[/tex].
Lastly, if we know that [tex]n = 300[/tex], then the 300th term of the sequence is:
[tex]p(n) = 1 + 4\cdot (n-1)[/tex]
[tex]p(n) = 1197[/tex]
And the next three terms of the sequence are:
n = 5
[tex]p(n) = 1 + 4\cdot (n-1)[/tex]
[tex]p(n) = 17[/tex]
n = 6
[tex]p(n) = 1 + 4\cdot (n-1)[/tex]
[tex]p(n) = 21[/tex]
n = 7
[tex]p(n) = 1 + 4\cdot (n-1)[/tex]
[tex]p(n) = 25[/tex]
The next three terms of the sequence are 17, 21 and 25.
The 300th term of the sequence is 1197.
PLEASE HELP, ONLY HAVE A FEW MIN LFT!!!!
A bookstore tracked the data of the weight of their deliveries and the number of books in each box. They created a scatterplot and trend line based on the data.
Which statement would be a reasonable prediction based on the scatterplot and trend line?
A box with 10 books should weigh about 2 pounds.
A box with 10 books should weigh about 4 pounds.
A box with 10 books should weigh about 6 pounds.
A box with 10 books should weigh about 12 pounds.
Answer: According to the trendline it would be about 6 lbs
Step-by-step explanation:
Answer:
C.
Step-by-step explanation: I did the test </3
Drag the operations signs to make the number sentence true. Use each operation sign once. +–×÷ 4 (3 2) 6 1 = 14
Answer: its 4x(3+2)-6÷ 1=14
Step-by-step explanation: in the picture
evaluate plssssssssssssssssssss
Answer:
2/5!
Step-by-step explanation:
A right prism has a volume of 65 cubic inches. The prism is enlarged so its height is increased by a factor of 20, but the other dimensions do not change. What is the new volume? A. 1000in.3 B. 1300in.3 C. 1200in.3 D. 1100in.3
Answer:
The answer is B, have a wonderful day!
Step-by-step explanation:
Solve for x HELP ASAP
Write a similarity statement comparing the three triangles in the diagram
P R S Q
Answer:
The answer is ΔJMK ≈ ΔMLK ≈ ΔJLM ⇒ answer (A)
Step-by-step explanation:
* Lets start with the equal angles i the three triangles
- In ΔJMK
∵ m∠JKM = 90°
∴ m∠KJM + m∠KMJ = 90 ⇒ (1)
- IN ΔMLK
∵ m∠MKL = 90°
∴ m∠KML + m∠KLM = 90° ⇒ (2)
∵ m∠KMJ + m∠KML = 90° ⇒ (3)
- From (1) , (2) , (3)
∴ m∠KJM = m∠KML
∴ m∠KMJ = m∠KLM
* Now lets check the condition of similarity in the 3 triangles
- At first ΔJMK and ΔMLK
- In triangles JMK , MLK
∵ m∠KJM = m∠KML
∵ m∠KMJ = m∠KLM
∵ m∠JKM = m∠MKL
∴ ΔJMK ≈ ΔMLK ⇒ (4)
- At second ΔJMK and ΔJLM
∵ m∠KJM = m∠MJL
∵ m∠KMJ = m∠MLJ
∵ m∠JKM = m∠JML
∴ ΔJMK ≈ ΔJLM ⇒ (5)
* If two triangles are similar to one triangle, then they are
similar to each other
- From (4) and(5)
∴ ΔJMK ≈ ΔMLK ≈ ΔJLM
Answer this question please
Write -8 7/8
as a decimal number,
Answer:
-8.875
Step-by-step explanation:
8 7/8 > -71/8 > -8.875
What is AB?
Triangle ACB is right angle triangle. The length of AC is 12 and BC is 35.
Answer:
the answer is 35
Step-by-step explanation:
because if BC is 35 that means AB will have to be that same because it's a triangle
The required value of AB is 33 units for the given right triangle.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
Triangle ACB is a right-angle triangle. The length of AC is 12 and BC is 35.
Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
Assume BC is the hypotenuse,
Since this is a right triangle, use the formula AB² + AC² = BC² and substitute values of AC = 12 and BC = 35.
AB² + AC² = BC²
AB² + (12)² = (35)²
AB² + 144 = 1225
AB² = 1225 -144
AB² = 1081
AB = 32.8785
Rounded to two decimal places,
AB = 33 units
Therefore, the required value of AB is 33 units.
Learn more about Pythagoras's theorem here:
brainly.com/question/343682
#SPJ2
HELP PWEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
rap music
Step-by-step explanation:
^
Answer:
i’m not sure if these are right or not but
Step-by-step explanation:
the first one is no
i think the second one is no
i think the third one is yes
i think the fourth one is yes
i am not sure and i’m REALLY sorry if its wrong
divide 54 books between A and B in the ratio 13:14
Answer:
hi
Step-by-step explanation:
i think,
13:14=54
13k+14k=54
27k=54
k=54/27
k=2
13×2=26 and 14×2=28
to verify the correctness of the answer-26+28=56
have a nice day
hope it helps
The ratio of the divide is mathematically given as
26:28
What is the ratio of the divide?Question Parameters:
divide 54 books between A and B in the ratio 13:14
Generally, ratios are mathematically given as
X=13/27*54
X=26
Y=14/27*54
Y=28
In conclusion, the ratio of the divide would be
26:28
Read more about Arithmetic
https://brainly.com/question/22568180
Factor the expression using the GCF.
42 – 12 =
Answer:
30
Step-by-step explanation:
Well 42
-
12
30
Will mark brainliest for the **CORRECT** answer!
Answer:
4x + 12x = 320
16x = 320
x = 20
Step-by-step explanation:
This is because the diagram shows 4x + 12x and the total being, 320.
4x + 12x = 16x
and 320/16 = 20
so x = 20
hope this helped :)
Triangle ABC was reflected across an axis.
A. State what axis it was reflected across
B. Give the ordered pairs of the reflected triangle
Joseph orders some pizza for himself and his friends. The cost of each pizza is £12.50, and the delivery charge is £1.50. If Joseph orders 11 pizzas, how much does Joseph pay in total?
Answer:
£139
Step-by-step explanation:
£12.50 * 11 = 137.50
137.50 + 1.50 = £139
Answer:
137.5 + 1.50 = £139
Step-by-step explanation:
Please Give brainliest
Matt tried to evaluate 49 x 24 using partial products. His work is shown below
Answer:
step 5
Step-by-step explanation:
Find the perimeter of a rectangle if the length of one side is 9x + 6y and the width is 13x + 2y.
Answer:
perimeter of rectangle = 2 (length + breadth)
= 2(9x + 6y + 13x + 2y)
= 2(22x +8y)
= 44x + 16y
Step-by-step explanation:
9x+6y
9-9x+6-9y both side subtract 9
x+(-3)y
x-3y the answer
13x+2y
13-13x+2-13y
x+(-11)y
x-11y .
follow me
An English teacher reviewed 2/3 of an essay in 1/4 of an hour. At this rate, how many essays can she review in 1 hour?
Answer: 2 2/3
Step-by-step explanation:
Answer:
2 2/3
Step-by-step explanation:
find the lateral surface area help needed asap will give brainliest
Step-by-step explanation:
3 Area of lateral = 3 ( bh ) = 12.2 XIO +7.04X12.2 +7.04x 12.2 = 122+85.888+85.888 = 293.776
293.776 approximate to 288
select all the measurements that create a unique triangle
Manny invested $8,000 in an account that pays 6.5% simple
interest. Manny will not make any additional deposits or
withdrawals. How many years must the money stay invested for
before the investment has a balance of $13,200?
Answer:
10 years
Step-by-step explanation:
Simple interest formula:
AV=PV(1+it)
13200=8000(1+.065t)
1.65=1+.065x
.65=.065x
10=x
The riddle family income is 3400 per month. They spend 1088 per month on housing. Use information to determine the percent of the budget spent on housing
Answer:
32%
Step-by-step explanation:
[tex]\frac{1088}{3400}[/tex]=[tex]\frac{x}{100}[/tex]
(1088)(100)=(3400)(x)
108800=3400x
x=32
32%
The percent of the budget spent on housing is 31.76%.
What is percentage?
Percentage is a mathematical term which means number or ratio expressed in terms of fractions of 100. it can be calculated by dividing given value to the whole value and multiplied by 100. we represent it through ' %'.
Given that, The riddle family income is 3400 per month.
They spend 1088 per month on housing.
We know the formula for percentage which is;
Percentage = (given value/whole value)*100,
Percentage = (1080/3400)*100
Percentage = 31.76
Hence, The percentage is 31.76%.
To learn more about percentage check:
https://brainly.in/question/33820520?
#SPJ5
Please help me!! No files allowed. I need the answer and an explanation!
Answer:
1/324
Step-by-step explanation:
please help.
I need which letters to click
A farmer wants to seed and fence a section of land. Fencing costs $27 per yard. Grass seed costs $2 per square foot. How much does it cost to fence and seed the pasture? (No links)
Answer:
she have 29 seed for the pasture
Please Help!!! Unit 8: Right Triangles & Trigonometry Homework 6: Trigonometry Review
The value of x from the figure is [tex]cos^-1(\frac{14}{13} )[/tex]
Triangles and AnglesFrom the given diagram, we have the following
Adjacent = 14Hypotenuse = 13The required angle is x
Using the SOH CAH TOA identity
[tex]cos \theta =\frac{adj}{hyp}\\ cos \theta =\frac{14}{13}\\ \theta = arccos(\frac{14}{13} )[/tex]
Hence the value of x from the figure is [tex]cos^-1(\frac{14}{13} )[/tex]
Learn more on SOH CAH TOA here: https://brainly.com/question/22307176
Find the volume of the composite shape to the right to the nearest while number
Hannah had 30 dollars to spend on 3 gifts. She spent 8 7 10 dollars on gift A and 4 2 5 dollars on gift B. How much money did she have left for gift C? Solve
Answer: [tex]\$16\dfrac{9}{10}[/tex]
Step-by-step explanation:
Given
Hannah had 30 dollars
Money spent on gift A
[tex]8\ \dfrac{7}{10}=\dfrac{8\times 10+7}{10}=\dfrac{87}{10}[/tex]
money spent on gift B
[tex]4\ \dfrac{2}{5}=\dfrac{22}{5}[/tex]
Money spent on gift C
[tex]\Rightarrow \text{Total-Money spent on (A+B)}\\\\\Rightarrow 30-\dfrac{87}{10}-\dfrac{22}{5}=30-\dfrac{87}{10}-\dfrac{44}{10}\\\\\Rightarrow \dfrac{300-87-44}{10}=\dfrac{169}{10}\\\\\Rightarrow \$16\ \dfrac{9}{10}[/tex]
Need Help ASAP!!! I don’t get it
Answer:
Step-by-step explanation:
134-(-80)=134+80=214