Answer:
$34,300
Step-by-step explanation:
First, we need to find how much interest is earned in one month : 7,000 * 6.5% = 455
455 is how much you gain monthly, multiply that by 12 to find the annual interest so 455 * 12 = 5,460
You then multiply that number by 5 to find the interest of the span of the 5 years
5,460 * 5 = 27,300
You add the original number to the interest with 27,300 + 7,000 = 34,300 in the account
Answer:
2/15
Step-by-step explanation:
4/5-2/3
12/15-10/15
2/15
Answer:
Step-by-step explanation:
<u>Plug in x = -4 and find the value:</u>
- f(-4) = 3*(-4)² - 7(-4) - 32
- f(-4) = 48 + 28 - 32
- f(-4) = 44
Answer: a) BC = 1386.8 ft
b) CD = 565.8 ft
Step-by-step explanation:
Looking at the triangle,
AD = BD + 7600
BD = AD - 7600
Considering triangle BCD, we would apply the the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan 24 = CD/BD = CD/(AD - 700)
0.445 = CD/(AD - 700)
CD = 0.445(AD - 700)
CD = 0.445AD - 311.5 - - - - - - - -1
Considering triangle ADC,
Tan 16 = CD/AD
CD = ADtan16 = 0.287AD
Substituting CD = 0.287AD into equation 1, it becomes
CD = 0.445AD - 311.5
0.287AD = 0.445AD - 311.5
0.445AD - 0.287AD = 311.5
0.158AD = 311.5
AD = 311.5/0.158
AD = 1971.52
CD = 0.287AD = 0.287 × 1971.52
CD = 565.8 ft
To determine BC, we would apply the Sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse
Sin 24 = CD/BC
BC = CD/Sin24 = 565.8/0.408
BC = 1386.8 ft