Ask question

Ask question

All categories

2 years ago

8

A man was surprised when he found an old bank account statement in his mother’s attic. Money had been left for 30 years in a ban

k account paying simple annual interest. The statement showed that originally $500 had been put into the account. When he called the bank, he found that there is now $1550 in the account! What is the annual interest rate?

2 answers:

Luba_88 [7]2 years ago

7 0

Answer:

x = 0.0384

Step-by-step explanation:

$500(1+x)^(30)=1550$

Tamiku [17]2 years ago

5 0

Answer:

7%

Step-by-step explanation:

You might be interested in

Which of the following represents "next integer after the integer n"?<br> On<br> On + 1<br> O2n

tigry1 [53]

Answer:

Option B.

Step-by-step explanation:

Integer: A non fractional complete number is known as integer. It can be either positive or negative or zero.

For examples : ...,-3,-2,-1,0,1,2,3,...

It is a clear that the difference between two consecutive integers is 1. It means we have to add 1 in the integer to get the next integer.

We need to express "next integer after the integer n" mathematically. So, we need to add 1 in n.

Required expression $=n+1$

Hence, the next integer after the integer n is n+1.

Therefore, the correct option is B.

6 0

3 years ago

Mark has made a $2000 down payment on an apartment. The total cost of the apartment for the year is $12000. He pays monthly paym

Grace [21]

ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana ImAbananaImAbananaImAbanana ImAbanana

7 0

3 years ago

Solve the triangle. Round your answers to the nearest tenth. A. m∠A=43, m∠B=55, a=16 B. m∠A=48, m∠B=50, a=23 C. m∠A=48, m∠B=50,

alexgriva [62]

Answer:

D. m∠A=43, m∠B=55, a=20

Step-by-step explanation:

Given:

∆ABC,

m<C = 82°

AB = c = 29

AC = b = 24

Required:

m<A, m<C, and a (BC)

SOLUTION:

Find m<B using the law of sines:

$\frac{sin(B)}{b} = \frac{sin(C)}{c}$

$\frac{sin(B)}{24} = \frac{sin(82)}{29}$

$sin(B)*29 = sin(82)*24$

$\frac{sin(B)*29}{29} = \frac{sin(82)*24}{29}$

$sin(B) = \frac{sin(82)*24}{29}$

$sin(B) = 0.8195$

$B = sin^{-1}(0.8195)$

$B = 55.0$

m<B = 55°

Find m<A:

m<A = 180 - (82 + 55) => sum of angles in a triangle.

= 180 - 137

m<A = 43°

Find a using the law of sines:

$\frac{a}{sin(A)} = \frac{b}{sin(B)}$

$\frac{a}{sin(43)43} = \frac{24}{sin(55)}$

Cross multiply

$a*sin(55) = 25*sin(43)$

$a = \frac{25*sin(43)}{sin(53)}$

$a = 20$ (approximated)

8 0

2 years ago

Plz help!!<br> Consider the given right triangle.

aalyn [17]

Answer:

b = 8

c = 16

Step-by-step explanation:

From the given right triangle,

a = $8\sqrt{3}$ , m(∠B) = 30°

By applying sine rule in the given triangle,

cos(B) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

cos(B) = $\frac{BC}{AB}$

cos(30°) = $\frac{8\sqrt{3}}{c}$

$\frac{\sqrt{3} }{2}= \frac{8\sqrt{3} }{c}$

c = 16

Further we apply tangent rule,

tan(B) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

tan(30°) = $\frac{b}{a}$

$\frac{1}{\sqrt{3}}=\frac{b}{8\sqrt{3} }$

b = 8

4 0

2 years ago

Jean wrote two correct variable expressions to represent the phrase “the quotient of a number and 3.”

Pie

The two variable expressions that describe the quotient (division) would be n/3 or n(division symbol)3

3 0

3 years ago

Read 2 more answers