1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NeTakaya
3 years ago
7

Solve by using proper methods. Show your work.

Mathematics
1 answer:
NeX [460]3 years ago
7 0

Answer:

$70,201.38

Step-by-step explanation:

To determine the principal amount, we can use the formula:

P=\dfrac{A}{(1+\frac{r}{n})^{nt}}

A = $200,000

r = 7% or 0.07

t = 15 years

n = 12

Now let's substitute our values.

P=\dfrac{200,000}{(1+\frac{0.07}{12})^{12(15)}}

P=\dfrac{200,000}{(1.00583333333)^{12(15)}}

P=70,201.38

So the principal needed to get 200,000 in 15 years is $70,201.38.

You might be interested in
Use the following algorithm:
andriy [413]

Answer:

First it says that you have to multiply the number x times 2, this will give you 2x as a result. Next you have to build your equation which is 2x=10, when you have an equation like this, you divide the result with the number before x (x=10÷2) your result will be x=5. Now you have to square the result (which is x) to get y, when squaring a number you have to multiply it by itself (depending of how many times it's asking to do so when there's a small number at the upper right corner of your number, that's how many times you multiply it) so if you have to square 5, it should be 5×5 which gives you the result of y being 25.

5 0
4 years ago
From a distance of 110 m, the angle of elevation to the top spire of a tower is 31°.
sesenic [268]

Answer:

63.51 m

Step-by-step explanation:

TOA

let o be the height of the building

tan31°=o/110m

0=110m tan31°

o=63.51m

8 0
2 years ago
Y-7=2y (x-1) write the equation in standard form
Hunter-Best [27]
  In order for an equation to be in standard form, the equation has to be in Ax+By=c form, where A is equal to the coefficient of x and B is equal to the coefficient of y, whereas c is just the constant, or the number in the equation that isn't being multiplied to a variable. In this case, you should first distribute 2y into (x-1), and then you should perform inverse operations on terms on both sides of the equation such that one side of the equation will only have terms with x and y in them and the other side of the equation will only be a numerical value. When the equation is like this, then the equation is in standard form.
4 0
3 years ago
Solve the equation and check your solution. (If an answer does not exist, enter DNE. If all real numbers are solutions, enter RE
r-ruslan [8.4K]
5x-4=4x+8
-4x. -4x
X-4=8
+4. +4
X=12
5(12)-4=4(12)+8
60-4=48+8
56=56
5 0
3 years ago
Which sequence matches the recursive formula? an=2an-1+5, where a1=5. A) 5,10,15,20 B) 5,15,35,75. C)5,15,25,35. D) 5,20,35,40
Dominik [7]

The recursive formula

a_n = 2a_{n-1}+5

means that, to compute the next value, you have to double the previous one and then add 5.

So, we start with 5. To get the second term, we double it and add five, so we have

a_2 = 2\cdot 5+5 = 10+5 = 15

Next, we will double 15 and add 5:

a_3 = 2\cdot 15 + 5 = 30+5 = 35

So, the answer is B, because it's the only option starting with 5,15,35.

Just to check, let's compute the last step:

a_4 = 2\cdot 35 + 5 = 70+5 = 75

Which confirms option B

6 0
3 years ago
Other questions:
  • Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x3 ? 9x2 ? 108x + 2, [?3, 4]
    5·1 answer
  • The captain of a ship must use extreme caution when approaching an iceberg because only .125 of it is above the surface of the w
    15·2 answers
  • Is 95/72 closer to 0, 1, 2 or 3
    12·2 answers
  • What is the doubling time of bacteria if you start with two bacteria and there are 128 bacteria after 3hrs?
    6·1 answer
  • DC SPORTS Inc ships sports balls around the world. A bowling ball has a diameter of inches. A basketball has a circumference of
    8·1 answer
  • What property is 2(x+3)=2x+6
    10·2 answers
  • 30 POINTS
    10·1 answer
  • Pls help i’m not good at this lol
    15·2 answers
  • 4. Which correctly explains whether or not the
    13·1 answer
  • Ryan scored 12 more points than Alex on a video game. If together they scored 214 points, how many points
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!