Please help me with this math problem. (It's a multiple choice question btw)
2 answers:
You might be interested in
Answer:
15°.
Step-by-step explanation:
1. Angles ADC and CDB are supplementary, thus
m∠ADC+m∠CDB=180°.
Since m∠ADC=115°, you have that m∠CDB=180°-115°=65°.
2. Triangle BCD is isosceles triangle, because it has two congruent sides CB and CD. The base of this triangle is segment BD. Angles that are adjacent to the base of isosceles triangle are congruent, then
m∠CDB=m∠CBD=65°.
The sum of the measures of interior angles of triangle is 180°, therefore,
m∠CDB+m∠CBD+m∠BCD=180° and
m∠BCD=180°-65°-65°=50°.
3. Triangle ABC is isosceles, with base BC. Then
m∠ABC=m∠ACB.
From the previous you have that m∠ABC=65° (angle ABC is exactly angle CBD). So
m∠ACB=65°.
4. Angles BCD and DCA together form angle ACB. This gives you
m∠ACB=m∠ACD+m∠BCD,
m∠ACD=65°-50°=15°.
Have a good Day!
Answer: B.
Step-by-step explanation:
The formula to find the compound amount (compounded yearly):-
, where P is the principal amount invested, is the rate of interest and t is time period.
As per given , we have
P=$5500 , r=5% = 0.05 and A = $7,739.05.
Substitute all the values in the formula , we get
Hence, the equation describes Meredith's investment based on t, the number of years she kept the account open :