Answer:
x = 34°
Step-by-step explanation:
x° and 34° are <em>corresponding angles</em> in this geometry, so are congruent. They have the same measure.
Jsjjejn dnjkje. Joke. Che s subs e
Answer:
<h3>45mL hot cocoa is more chocolatey</h3>
Step-by-step explanation:
When Arjun makes hot cocoa, if he add 20mL of chocolate syrup to 3ounces of water, let us know the equivalent chocolate in one ounces of water.
20mL = 3 ounces
x = 1 ounce
cross multiply
3x = 20
x = 20/3
x = 6.67 mL
This means he must have add 6.67mL of chocolate to 1 ounce of water.
Similarly, if 45mL is added to every 6 ounces
45mL = 6ounces
x = 1 ounce
cross multiply
6x = 45
x = 45/6
x = 7.5mL
This means he must have add 7.5mL of chocolate to 1 ounce of water.
The hot cocoa that is more chocolatey is the one with the highest amount of chocolate in 1 ounce. That is 45mL hot cocoa
Answer: the interest rate is 6%
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
A = $4482
P = 1000
t = 25 years
Therefore,
4482 = 1000 x 2.7183^(r x 25)
4482/1000 = 2.7183^25r
4.482 = 2.7183^25r
Taking ln of both sides, it becomes
Ln 4.482 = 25rLn2.7183
1.5 = 25r
r = 1.5/25 = 0.06
r = 0.06 × 100 = 6%
Answer:
$1256.85
Step-by-step explanation:
1140 (1.05) = $1197 cost
$1197* 1.05 = 5% profit