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KIM [24]
3 years ago
12

a person invest in 9000 in a bank. the bank pays 5% interest compounded semi annually. to the nearest tenth of a year, how long

must the person leave the money in the bank until it reaches 14800 dollars
Mathematics
1 answer:
QveST [7]3 years ago
3 0

Answer:

10.1 years.

Step-by-step explanation:

It is given that,

Principal = 9000

Rate of interest = 5%

No. of times interest compounded = 2 times in an year

Amount after certain time = 14800

The formula for amount:

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

where, P is principal, r is rate of interest, n is no. of times interest compounded in an year and t is time in years.

Substitute the given values in the above formula.

14800=9000(1+\frac{0.05}{2})^{2t}

\frac{14800}{9000}=(1+0.025)^{2t}

1.644=(1.025)^{2t}

Taking log both sides.

\log(1.644)=\log(1.025)^{2t}

\log(1.644)=2t\log(1.025)    [\because \log a^b=b\log a]

\frac{\log(1.644)}{2\log(1.025)}=t

t=10.066

t=10.1

Therefore, the required time is 10.1 years.

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Rectangle
Viefleur [7K]

Answer:

  21 square units

Step-by-step explanation:

The sides of the rectangle are aligned with the coordinate grid, so we can easily find its dimensions.

AB lies on the line y = -2, so the horizontal extent is the difference in x-values:

  6 - 3 = 3

BC lies on the line x = 6, so the vertical extent is the difference in y-values:

  5 -(-2) = 7

The area is the product of these two dimensions:

  A = LW = (7)(3) = 21 . . . . square units

The area of the rectangle is 21 square units.

3 0
3 years ago
Read 2 more answers
If ∠ABE = 100° and ∠EDC = 100°, are the two triangles, ΔABE and ΔEDC similar? If so, by what criterion?
MAVERICK [17]
No
because 2 similar triangles have to meet one of the following conditions:
1. all sides are equal
2. 2 pair of equal sides & the angles between these sides are equal
7 0
3 years ago
Read 2 more answers
Which expressions are equivalent to (5g+3g+4)x2
FrozenT [24]
It’s A, cuz the 4*2 equals 8
4 0
3 years ago
Activity 1: Put me in the Box!
Contact [7]

Step-by-step explanation:

To find - Determine the hypothesis and the conclusion of the given

               statement  the hypothesis in Box A and the conclusion in Box B.

             1. Vertical angles are congruent

             2. Bats are mammals that can fly.

             3. You are a good citizen when you obey rules and regulations.

             4. A number is divisible by 10 if its last digit is a 0.

             5. 3x + 6 = 21, because x = 5​

Proof -

Firstly we will write the conditional statements , so that we can easily find the hypothesis and the conclusion of the given statement.

1.)

Given statement - Vertical angles are congruent

Conditional statement - If two angles are vertical , then they are congruent.

Hypothesis - Two angles are vertical

Conclusions - They are congruent.

2.)

Given statement - Bats are mammals that can fly

Conditional statement - If bats are mammals , then they can fly.

Hypothesis - Bats are mammals

Conclusions - They can fly.

3.)

Given statement - You are a good citizen when you obey rules and regulations.

Conditional statement - If you are a good citizen , then you obey rules and regulations.

Hypothesis - You are a good citizen

Conclusions - You obey rules and regulations.

4.)

Given statement - A number is divisible by 10 if its last digit is a 0.

Conditional statement - If a number is divisible by 10, then its last digit is a 0.

Hypothesis - A number is divisible by 10

Conclusions - Its last digit is 0.

5.)

Given statement - 3x + 6 = 21, because x = 5​

Conditional statement - If 3x + 6 = 21, then x = 5

Hypothesis - 3x + 6 = 21

Conclusions - x = 5

6 0
3 years ago
Triangle ABC has measures a = 2, b = 2, and m∠A = 30° m∠B=30° m∠C=120°. What is the measure of side C?
Andrej [43]

Answer:

8

Step-by-step explanation:

The other sides are the same and 30/15 is 2, so 120/15 is 8, so they are all equivalent, so 2*15=30 and its the same for b, 8*15=120

3 0
3 years ago
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