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Art [367]
3 years ago
14

Johnny invested $1000 in savings account that yields 2% interest annually. How much will Johnny's investment be worth in 10 year

s?
Mathematics
1 answer:
Ann [662]3 years ago
4 0
Calculate the interest in a year
Multiply the annual percentage of interest by the investment to find the interest.
interest in a year = 2% × 1,000
interest in a year = 0.02 × 1,000
interest in a year = 20
The annual interest is $20

Calculate the interest after 10 years
Multiply the annual interest by 10
interest 10 years = 20 × 10
interest 10 years = 200
The sum of interest after 10 years is $200

Find total investment
investment = first investment + interest in 10 years
investment = 1,000 + 200
investment = 1,200

The investment will be worth $1,200 in 10 years
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What is the solution to this equation? <br> log_7 (5 + 11x) = 2
11111nata11111 [884]

Answer:

x = 4

Step-by-step explanation:

Using the rule of logarithms

log_{b} x = n , then x = b^{n}

Given

log_{7} (5 + 11x) = 2 , then

5 + 11x = 7² = 49 ( subtract 5 from both sides )

11x = 44 ( divide both sides by 11 )

x = 4

5 0
2 years ago
bryan has some 3 cent stamps and some 4 cent stamps. what is the least number of stamps he can combine so the value of the stamp
SashulF [63]

Answer:

The least number of stamps required is 9

Step-by-step explanation:

Let the number of 3 cent stamps be x and 4 cent stamps be y

We have

3x+4y=33

The minimum number is obtained when more  4 cent stamps are used

Here y cannot be greater than 8 since \frac{33}{4}

Substitute y=8

3x+4\times 8=33\\\\3x=1\\\\x=\frac{1}{3}

Not possible since x is not a fraction

Substitute y=7

3x+4\times 7=33\\\\3x=5\\\\x=\frac{5}{3}

Not possible since x is not a fraction

Substitute y=6

3x+4\times 6=33\\\\3x=9\\\\x=\frac{9}{3}\\\\=3

Possible

Hence minimum number of stamps is

=x+y\\\\=3+6\\\\=9

5 0
2 years ago
Please help me! Need answer quick!
aksik [14]

Let h = height of triangle


h^2 + 12^2 = 15^2


h^2 + 144 = 225


h^2 = 225 - 144



h^2 = 81


sqrt{h^2} = sqrt{81}


h = 9 cm


For part B, we need to find surface area because it represents the perimeter of this 3-D figure. The formula needed is SA = B + LA.


1. First find the lateral area.


LA = perimeter of triangle • height


LA = ph


p = 15 + 15 + 24


p = 30 + 24


p = 54 cm


LA = (54)(9)


LA = 486 cm^2


2. We now find the base of each triangle. This is found by finding the area of each triangle and multiplying by 2.


A = (1/2)bh


A = (1/2)(24)(9)


A = 108 cm^2


A = 2•108 cm^2


A = 216 cm^2 = our B in the surface area formula.


SA = B + LA


SA = 216 cm^2 + 486 cm^2


SA = 702 cm^2


The amount of cardboard needed is 702 cm^2.






6 0
3 years ago
Use the distance formula to find distance between two points. Need help on this ASAP.
astra-53 [7]

Answer:

a) 20 units

b) 2 √10 units

c) 2 √17 units

Step-by-step explanation:

The distance formula is;

D = √(y2-y1)^2 + (x2-x1)^2

a) D = √(-7-9)^2 + (-7-5)^2

D = √256 + 144

D = √400

D = 20

b) D = √(10-8)^2 + (9-2)^2

D = √(2)^2 + 6^2

D = √4 + 36)

D = √40

D = 2 √10 units

c) D = √(1 + 7)^2 + (-8+10)^2

D = √(64 + 4)

D = √68

D = 2 √17 units

3 0
3 years ago
Use the quadratic model d= -3p^2+168p-315 to predict d if p equals 15.
drek231 [11]
A) i think is the correct answer


4 0
2 years ago
Read 2 more answers
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