Math 4 Unit 3 quiz warmup

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

• $1,225,54
• $2,225.54
• $22,255.40
• $225.54

Karla invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Karla earn in 15 years?

• $1,584.62
• $2,651.39
• $2,706.86
• $1,825.10

Tags

CCSS.HSF-LE.A.1C

If you invest $5,000 into an account paying 6% interest compounded continuously, how many years will it take until there is $8,000 in the account?

• 7.83 years

• 6.83 years

• 9.67 years

• 8.67 years

Tags

CCSS.HSF.LE.A.4

Rewrite log_x95 = 2.3

• x^2.3 = 95

• 95^2.3 = x

• 2.3⁹⁵ = x

• x⁹⁵ = 2.3

Tags

CCSS.HSF.BF.B.5

Rewrite 1.6^(x+2) = 14.1

• log_1.614.1 = x+2

• log_1.6(x+2) = 14.1

• log_14.1(x+2) = 1.6

• log_(x+2)1.6 = 14.1

Tags

CCSS.HSF.BF.B.5

Solve

 $2\times3^{\left(x+1\right)}=54.$  

•  $x=-1$  

•  $x=0$  

•  $x=1$  

•  $x=2$  

Expand log₆(5x³/y).

• log₆5x³-log₆y
• log₆5+log₆x³-log₆y
• log₆5+3log₆x-log₆y