To calculate the time required for the investment to reach $17,600, we can use the formula for compound interest:
A = P * (1 + r/n)^(n*t)
Where:
A = Final amount ($17,600 in this case)
P = Principal amount ($10,000)
r = Annual interest rate (4.5% = 0.045)
n = Number of times interest is compounded per year (daily compounding = 365)
t = Time in years
Substituting the values into the formula, we have:
17600 = 10000 * (1 + 0.045/365)^(365*t)
Dividing both sides of the equation by 10000, we get:
1.76 = (1 + 0.045/365)^(365*t)
Now, we can take the natural logarithm (ln) of both sides of the equation:
ln(1.76) = ln((1 + 0.045/365)^(365*t))
Using logarithm properties, we can bring down the exponent:
ln(1.76) = (365*t) * ln(1 + 0.045/365)
Now, we can solve for t by dividing both sides of the equation by 365 * ln(1 + 0.045/365):
t = ln(1.76) / (365 * ln(1 + 0.045/365))
Using a calculator, we can calculate the value of t:
t ≈ 7.7 years
Therefore, to the nearest tenth of a year, the person must leave the money in the bank for approximately 7.7 years until it reaches $17,600.
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A round swimming pool has a radius of 12 feet. What is its circumference?
c=2πr
=2*3.14*12
=75.36 m
it's circumference is 75.36 m
Answer:
about 452.16
Step-by-step explanation:
c = pi r²
12²= 144
pi is about 3.14
144 × 3.14 = 452.16
Please help me: which statement is not true?
Answer:
I'd say III. Could be wrong.
Answer:
#3
Step-by-step explanation:
KL is shorter in length compared to CD which means if you divide both by BC they will not equal each other
PLZ HELPP REWARD BRIANLIEST
Answer:
x = 3 x = -4
x = 1 x = 8
Step-by-step explanation:
x² + x - 12
(x + 4) (x - 3)
x + 4 = 0
x = - 4
-----------
x - 3 = 0
x = 3
x² - 9x + 8
(x - 8) (x - 1)
x - 8 = 0
x = 8
-----------
x - 1 = 0
x = 1
Find the missing side of the triangle.
Answer:
The second option
Step-by-step explanation:
c=[tex]\sqrt{16^{2} +12^{2} }[/tex]
c=20 m
PLEASE HELP ASAP!!!!! 50 POINTS!!!!
Which of the following measurements, in centimeters (cm), could be the lengths of the sides of a triangle? Select all that apply.
Answer:
6m,6m,13m
Step-by-step explanation:
Dhruv is 24 years older than Sanjay.10 years back Dhruv’s age was five times the age of Sanjay. Find their ages.
Answer:
Sanjay age=16 years; Dhruv age = 40 Years
Step-by-step explanation:
Let Sanjay’s present age be ‘x’, then Dhruv age is x+24
10 years back, Sanjay’s age was (x-10) years and Dhruv’s age
was (x+14)
Given: x+14 =5(x-10)
X=16 years
Sanjay age=16 years; Dhruv age = 40 Years
Use the model to write a equation
Answer:
5/8-2/8=3/8 I hope this helped!
A city cat show is underway. Complete with purring, meowing, and an occasional hiss. There are three times as many orange cats as black and white cats, two times as many black and white cats as grey cats, three fewer gray cats then white cats, three times as many white cats as calico cats, and five white cats. How many of each kind of cat is in the show? How many in all?
Answer:
i like cats uwu
Step-by-step explanation:
12y + 29y +48y + 2ly + 13y + 7y
Answer:
Add all of the numbers then put a Y at the end.
Step-by-step explanation:
its just combining like terms, if their all Y. its jist adding with a letter at the end
30 is 60% of what number
Answer:
the answer is 50
Step-by-step explanation:
x=30×100/60
x=50
15% is to be added to a 120 pair of shoes. Find the total
Price for the pair of shoes
Answer:
138
Step-by-step explanation:
120 x .15 = 18
120 + 18 = 138
Answer:
138Step-by-step explanation:
[tex]120+15\%\times120=120+0.15\times120=120+18=138[/tex]
Find the solution of y = -x - 3 for x = -2.
A.
(-2, 1)
B.
(-2, -5)
C.
(-2, -1)
Answer:
(-2,-1)
Step-by-step explanation:
y = -x - 3
you replace the x with the -2
y = -(-2) - 3
y=2-3
y=-1
Help me pleaseeeeeee
Answer:
1(top)- the last one
2- the first one
3(bottom)- the middle one
Step-by-step explanation:
trust me :)
Find q.
60 °
30 °
4
q
Write your answer in simplest radical form.
Answer:
q = 4√3
Step-by-step explanation:
the value of q = 4. root 3 = 4√3 units .
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
Dinah went out to eat at a restaurant. She wants to leave the waitress a tip of 18%. She can determine the amount she should pay by adding the total amount of the bill (b) to 18% of b + 18% ×b. Which expression shows another way that dinah can calculate the total amount she will pay, Including tip? Help me plssss
Answer:
C. [tex]1.18b[/tex]
Step-by-step explanation:
Hi! Ace here!
In order to do this, we have to convert 18% into a decimal.
The decimal form of it is .18.
So we have to do
[tex]b+.18b[/tex]
Combine like terms:
[tex]1.18b[/tex]
I hope this helped
Answer:
1.18b
Step-by-step explanation:
Remember: percentage = decimal × 100
total = b + 18% x b
Factor out b:
total = b x (1 + 18%) = b x (1 + 0.18)
total = b x 1.18 = 1.18b
A solid has an area of 1cm squared. The solid is dialated to a new area of 2,401cm squared what was the scale factor? Show your work
Answer:
1 : 2401
Step-by-step explanation:
Given that:
Area of solid = 1cm²
New area after dilation = 2401 cm²
The scale factor :
Old area : new area
1 cm² / 2401 cm²
Hence, the scale factor is
1 : 2401
A car on a racetrack drove 98 miles in 60 minutes. How far did it drive in 12 minutes? Round the the nearest tenth when necessary.
Answer:
19.6 miles in 12 minutes.
Step-by-step explanation:
first take 60, then divide it by 12.
60÷12=5
then take 98 and divide that by 5
98÷5=19.6
9. Henry joined an art class that charges
$125 for the cost of supplies, plus $25
per class. Henry wants to spend no more
than $500 on art classes. Which
inequality can be solved to find the
number of classes Henry can take?
A 25x + 125 < 500
B 125x - 25 > 500
C 25x 2 625
D 125x + 25 S 500
Answer:
Step-by-step explanation:
[tex]25x+125\le 500[/tex]
Q2.
(a) Expand and simplify (m-8)(m + 5)
We can split the m-8 into 2 terms m and -8 each multiplying the next ( ) like this...
m(m+5)-8(m+5)
Now we expand
m^2+5m-8m-40
then simplify!
m^2-3m-40
Done!
If you have any more questions put them in the comments and brainliest will be appreciated
4/5+ 1/3 how much is it
How are exponents used for measuring an earthquake? Can you explain?
Answer:
Richter, the Richter scale was used for many years to describe the energy released by an earthquake. ... To estimate the Richter scale measure, write the amplitude, in mm, as 10 raised to an exponent (10x), then add 3 to the exponent, x. For example, if the amplitude is 100 mm, rewrite 100 as 102.
Step-by-step explanation:
PLS HELP ASAP I MEAN ASAP PLS
Answer:
(B). - 3 ≤ x < 1
Step-by-step explanation:
[tex]\frac{\sqrt{x+3} }{\sqrt{1-x} }[/tex]
Given expression is defined for
1). x + 3 ≥ 0 ⇒ x ≥ - 3
and
2). 1 - x > 0 ⇒ x < 1
- 3 ≤ x < 1
What is the equation for a line that passes through the points (-4,-3) and (8,12)?
Answer:
y = 1.25x + 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
( -4 , -3 ) ( 8 , 12 )
12 + 3 15 = 5
8 + 4 12 = 4
↑ slope = 5/4
↓ point slope form: y - y₁ = m ( x - x₁ )
y + 3 = 5/4 ( x + 4 )
y + 3 = 5/4x + 5
-3
y = 5/4x + 2
A driver stopped to purchase 27 gallons of gas and paid $62.10. What is the unit rate for gas?
Answer:
$2.3/gallon
Step-by-step explanation:
62.10 divided by 27 = 2.3
Answer:2.3$
Step-by-step explanation:
To find a unit rate you need to see how much for 1, so in this case you would divide 62.10 by 27 and get 2.3$ per gallon
Please can someone help answer these ratio questions
Answer:
12sweet
Alex's ratio=3
Thomas' ratio =2
I.e 3+2=5
Sweet=30
Thomas' share=2/5*30
=12
I.e Thomas' share is equal to 12 sweets
Answer:
12 sweet s
Alex's ratio=3
Thomas' ratio =2
I.e 3+2=5
Sweet=30
Thomas' share=2/5*30
=12
I.e Thomas' share is equal to 12 sweets
Halla el Perímetro y Area de las siguientes figuras: 1) Triángulo de lados 6 cm × 8 cm × 5 cm, con base en 8cm y altura de 3,73 cm. 2) Circunferencia de diámetro 4,5 cm.
Answer:
1) El triángulo tiene un perímetro cuyo valor es 19 cm y un área de 14,92 cm²
2) La circunferencia tiene un perímetro cuyo valor es 14,14 cm y un área de 15,90 cm²
Step-by-step explanation:
El perímetro es una medida de la distancia alrededor de una figura y el área da una idea de qué tanta superficie cubre dicha figura.
Entonces, el perímetro es la medida obtenida como resultado de la suma de los lados de una figura geométrica plana. Es decir, el perímetro es lo que mide el contorno de la figura.
El área de un triángulo es igual a base por altura dividido por 2.
Siendo r el radio de la circunferencia, el perímetro será calculado como:
P=2*π*r
y el área será:
A=π*r²
1) En este caso, el perímetro es calculado como:
P= 6 cm + 8 cm + 5 cm= 19 cm
Y el área del triángulo es calculada como:
[tex]A=\frac{base*altura}{2} =\frac{8 cm*3.73 cm}{2}[/tex]
A= 14,92 cm²
El triángulo tiene un perímetro cuyo valor es 19 cm y un área de 14,92 cm²
2) Siendo el diámetro un segmento de recta que va desde un punto de la circunferencia a otro y pasa por el centro del círculo y l radio la distancia desde el centro del círculo hasta un punto de la circunferencia, entonces, el radio es la mitad del diámetro.
Siendo el diámetro de la circunferencia 4,5 cm, entonces el radio r tiene un valor de 2,25 cm.
Entonces el perímetro será calculado como:
P=2*π*2,25 cm
P= 14,14 cm
y el área será:
A=π*(2,25 cm)²
A= 15,90 cm²
La circunferencia tiene un perímetro cuyo valor es 14,14 cm y un área de 15,90 cm²
COULD YOU PLEASE HELP OUT WITH THIS PROBLEM!!??
find the output y of the function y = -4/15x + 24, input (x) is 120 -- x = ?
Answer:
ano pong lesson yan.paki comment nalang po.
What is the answer to 2/6 + 1/2?
Answer: hey, there
your answer is 5/6
Step-by-step explanation:
=
2
6
+
1
2
=
1
3
+
1
2
=
2
6
+
3
6
=
2+3
6
Answer:
5/6
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/6, 1/2) = 6
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(26×11)+(12×33)=?
Complete the multiplication and the equation becomes
26+36=?
The two fractions now have like denominators so you can add the numerators.
Then:
2+36=56
This fraction cannot be reduced.
Therefore:
26+12=56
Solution by Formulas
Apply the fractions formula for addition, to
26+12
and solve
(2×2)+(1×6)6×2
=4+612
=1012
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(10,12) = 2
10÷212÷2=56
Therefore:
2/6+1/2=5/6
(hope this helps can i plz have brainlist :D hehe)
plzzzzzzzzzzz helppppppppppppppppppp
Answer:
A. Step 1
Step-by-step explanation:
He made the mistake on step 1 because he didn't distribute
Answer:
Step 1
Step-by-step explanation:
2(5g - 1) = 3
1 Step: Distribute
2(5g - 1) = 3
10g-2=3
2 step: Add 2 to both side of the equation
10g -2=3
10g= -2+2=3+2
3 step: Simplify
4 step: Divide both sides of the equation by the same term
10g=5
10g/10 = 5/10
5 step: Simplify
g = 1/2
-4 + x + 7 + 3x + 6x
Go to m-a-t-h-w-a-y they give you the answer. But only do it when absolutely necessary. Hope this helps!