Given:
Principal value = $65,550
Rate of interest = 3% compounded every six month
To find:
The taken to have $100,000 in Jack's account.
Solution:
The formula for amount is
[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]
where, P is principal, r is rate of interest, n is number of times interest compounded in an year, t is time in number of years.
Interest compounded every six month. It means, interest compounded 2 times in an year.
Substitute A=100000, r=0.03 and n=2 in the above formula.
[tex]100000=65550(1+\dfrac{0.03}{2})^{2t}[/tex]
[tex]\dfrac{100000}{65550}=(1+0.015)^{2t}[/tex]
[tex]1.525553=(1.015)^{2t}[/tex]
Taking log on both sides.
[tex]\log (1.525553)=\log (1.015)^{2t}[/tex]
[tex]\log (1.525553)=2t\log (1.015)[/tex]
[tex]\dfrac{\log (1.525553)}{2\log (1.015)}=t[/tex]
[tex]t=14.1838928[/tex]
[tex]t\approx 14.18[/tex]
Therefore, after 14.18 year the amount will reach at $100,000 or we can say that in 15th year the amount will reach at $100,000.
I have $100 and I want to buy tshirt that cost $10 and sweatshirts that cost $20 how many tshirts and sweatshirts can I buy
Answer:
10 tshirts or 5 sweatshirts
Step-by-step explanation:
One t-shirt + one sweatshirt = $30.
We know that $100 ÷ $30 = 3 times with $10 left over.
This leads to the conclusion that you can buy 4 t-shirts and 3 sweatshirts.
I NEED HELP! Please.
Answer:
z = 12
Step-by-step explanation:
Answer:
Step-by-step explanation:
4z - 4 = 3z + 8
z = 12
What is an equation of the line that passes through the points (4,1) and (8,-3)?
PLZZ HELPP MEE!!
Answer:
y=-x+5
Step-by-step explanation:
(4,1)
(8,-3)
1)a slope of a line is (y2-y1)/(x2-x1)
so (-3-1)/(8-4)
-4/4=>m=-1
2)to find y-int replace any points in the equation by x and y
so 1=-1(4)+b
1=-4+b
1+4=b
so b= 5
therefore the equation is y=-x+5 so d
pls help and explain if u can
Answer:
Step-by-step explanation:
6 - 3(x + 1) = 18 ⇔ 3 - 3x = 18 ⇒ x = 5
y - 6 = 17 ⇒ y = 23
z - 3 = 4z ⇒ z = - 1
18 - 3(0) = 9w ⇒ w = 2
========================
I'm going to solve for you some another question you asked, I did not see the right answer... :)
There are two scenarios, because the expression under the module can be positive and can be negative: | 3x + 2| - 2 > 3 ⇔ | 3x + 2| > 5
(1). If (3x + 2) is positive then
3x + 2 > 5 ⇒ x > 3
(2). If (3x + 2) is negative then
- (3x + 2) > 5
- 3x - 2 > 5
- 3x > 7 ⇒ x < - [tex]\frac{7}{3}[/tex]
The final answer is x < - 2.3 or x > 1
Find the distance of a line given the following points. R(3, 1), W(-1, -2)
Answer:
[tex]\sqrt{13}[/tex]
Step-by-step explanation:
we can solve this using the distance formula: [tex]\sqrt{(x_{2}-x_1)^{2} + (y_{2}-y_1)^{2}}[/tex]
[tex]x_1, y_1[/tex] is (3, 1)
[tex]x_2, y_2[/tex] is (-1, -2)
[tex]\sqrt{(1-3)^2 + (-2-1)^2}[/tex]
which simplifies to: [tex]\sqrt{(-2)^2 + (-3)^2}[/tex]
then: [tex]\sqrt{2^2 + 3^2}[/tex] or: [tex]\sqrt{4+9}[/tex]
your final answer is: [tex]\sqrt{13}[/tex] or about 3.61
In how many ways can you arrange the books A, B, C, and D on a bookshelf if books A and C must remain neighboring?
hey guys what is this type of equation/ question called 1 < x < 30
Answer:
2,3,4,5,6,7,8,9,10,...29
Step-by-step explanation:
Solve this inequality for x 81-1 1/5x < 55
Answer:
81 - 1 1/5 x < 55
Step-by-step explanation:
-1 1/5x < -26
-6/5x< -26
x < -26 * -5/6
x < 65/3
Answer:
the answer is C it was on my mid-term
Step-by-step explanation:
the ratio 60 miles per hour is an example of a because it has two measurements having different units of measure
Answer:
180
Step-by-step explanation:
Answer: ejejejwjfmfmdnc
Step-by-step explanation:
Which part of this graph shows a nonlinear relationship?
Distance from home
2.
Time
Answer:
thanks
Step-by-step explanation:
The marked price of a sweater at the clothing store was $24.
During a sale, a discount of 25% was given. A further 15%
discount was given to the customers who have the store's
credit card. How much would a member customer need to
pay for the sweater during the sale if the customer paid with
the store's credit card? Round your answer to the nearest
cent.
Enter the answer
please help me for a question
Answer:
there is no question??
Ruth's credit card has an APR of 10,91%, and it computes finance charges using the previous balance method on a
30-day billing cycle. During the April billing cycle, she made a $45.17 payment on April 10th and a $88.34 purchase on
April 17th. Her total at the start of May was $847.64. What was her balance at the beginning of April?
a $890.91
b. $797.22
C.$796.87
d. $804.47
Please select the best answer from the choices provided
Answer:
It's B trust
Step-by-step explanation:
The required balance at the beginning of April is $796.87. Option C is correct.
What is interest?Simple interest is defined as the percentage of earnings on the lending for a period of time
To determine Ruth's balance at the beginning of April, we can work backward from her total at the start of May.
Let's call Ruth's balance at the beginning of May "B".
We know that during the April billing cycle:
She made a $45.17 payment on April 10th
She made a $88.34 purchase on April 17th
The APR is 10.91%
So, B = B - $45.17 - $88.34 + (B * 0.1091 * 30 / 365)
Solving for B, we get:
B = $796.87
So, the answer is C. $796.87.
Learn more about your interest here:
https://brainly.com/question/20406888
#SPJ6
Given 2x+4y=12 what is the x and y int
Mrs canales class is selling pizza to earn money for a field trip. For every pizza sold the class makes $5.35. They have already earned $182.90 toward their $750 goal. How many more pizzas must they sell to earn $750 (algebraic approach) Thanks
Answer:
They still have to earn:
$750 - $182.9 = $567.1
and if they make $5.35 for every pizza sold:
$567.1 : $5.35 = 106
They must sell 106 pizzas more.
Step-by-step explanation:
help please!!!!! (QUESTION #3)!!!!!!!