I think the answer is A. 95, but I am not sure.

Find the ratio a:c if <br>a:b = 1:2, b:d = 4:5, d:c = 3:1<br>

Makovka662 [10]

Answer:

a : c = 6 : 5

Step-by-step explanation:

Expressing the ratios in fractional form, then

$\frac{a}{c}$ = $\frac{a}{b}$ × $\frac{b}{d}$ × $\frac{d}{c}$ = $\frac{1}{2}$ × $\frac{4}{5}$ × $\frac{3}{1}$ = $\frac{12}{10}$ = $\frac{6}{5}$

Thus a : c = 6 : 5

3 0

2 years ago

Sofia invests her money in an account paying 7% interest compounded semiannually. What is the effective annual yield on this acc

vfiekz [6]

Answer:

7.12

Step-by-step explanation:

The formula for the effective annual yield is given as:

i = ( 1 + r/m)^m - 1

Where

i = Effective Annual yield

r = interest rate = 7% = 0.07

m= compounding frequency = semi annually = 2

i = ( 1 + 0.07/2)² - 1

i = (1 + 0.035)² - 1

= 1.035² - 1

= 1.071225 - 1

= 0.071225

Converting to percentage

0.071225 × 100

= 7.1225%

Approximately to 2 decimal places = 7.12

Therefore, the annual effective yield = 7.12

4 0

2 years ago

A tourist standing on the New York City coast sees the Statue of Liberty, which is 305 feet tall. She must tilt her head 9 degre

mixer [17]

Given:

Height of the Statue of Liberty = 305 feet

Angle of elevation = 9 degrees

To find:

The between the tourist and the Statue of Liberty.

Solution:

Using the given information, draw a figure as shown below.

In a right triangle,

$\tan \theta=\dfrac{Perpendicular}{Base}$

In the triangle ABC,

$\tan 9^\circ=\dfrac{305}{x}$

$x=\dfrac{305}{\tan 9^\circ}$

$x=1925.6942$

$x\approx 1926$

Therefore, the tourist is standing 1926 feet from the Statue of Liberty.

4 0

2 years ago

The assumptions made are: The gas molecules from Caesar's last breath are now evenly dispersed in the atmosphere. The atmosphere

Dovator [93]

Answer:

$2.6\times 10^{19}m^{3}$

Step-by-step explanation:

we have given thickness of atmosphere =50 km

radius of earth =6400 km

average temperature of atmosphere=15°C

Average pressure of atmosphere= 0.20 atm

we have to calculate the volume of atmosphere

so the we have to calculate the volume of atmosphere = ( volume of earth +atmosphere) - volume of earth

volume of atmosphere = $\frac{4}{3}\times\pi \times \left ( 6400+50 \right )^{3}-\frac{4}{3}\times \pi\times 6400^3$

= $2.6\times 10^{19}m^{3}$

6 0

3 years ago

3+6×5+4÷2-7 using the same expression,add parentheses so that the value of the expression is 38

solmaris [256]

Answer:

3+6×(5+4÷2)-7

Step-by-step explanation:

To solve the expression use order of operations.

Right now the expression solves to:

3+6×5+4÷2-7 6* 5 = 30

3 + 30 + 4÷2-7 4 ÷ 2 = 2

3 + 30 + 2 - 7 Add and subtract left to right.

33 + 2 - 7

35 - 7

28

To make it solve to 38, add parenthesis:

3+6×(5+4÷2)-7 (5+4÷2) = 7

3+6×(7)-7 6*7 = 42

3 + 42 - 7 Add and subtract from left to right

45 - 7

38

7 0

2 years ago