Hi, want to be my friend?

Mathematics

2 answers:

vivado [14]3 years ago

7 0

Answer:

yeah sure

Step-by-step explanation:

because I'm friendly

geniusboy [140]3 years ago

5 0

Answer:

Sure! wassup

Step-by-step explanation:

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10) Consider the following expression.

velikii [3]

Answers:

The expression is equivalent to a rational number.

The expression represents the sum of two rational numbers.

3 0

3 years ago

Please I could really use some help on this (50 points, 5 stars and Brainliest)

jarptica [38.1K]

Answer:

(a) $A(n)=5500(1.01)^{4n}$

(b)$5955.71

Step-by-step explanation:

For an initial principal P deposited in an account at an annual interest r compounded for a number of period k, the amount in the account after n years is given by the model:

$A(n)=P(1+\dfrac{r}{k})^{nk}$

(a)Aunt Ga Ga gave you $5,500 to save for college.

P=$5,500

Annual Interest, r=4%=0.04

Since interest is compounded quarterly, Number of Periods, k=4

Therefore, an exponential function modeling this situation is:

$A(n)=5500(1+\dfrac{0.04}{4})^{4n}\\A(n)=5500(1+0.01)^{4n}\\$Simplified\\A(n)=5500(1.01)^{4n}$

(b)After 2 years, i.e. when n=2

$A(2)=5500(1.01)^{4*2}\\=\$5955.71$

(c)When A(n)=$10000, we have:

$10000=5500(1.01)^{4n}\\$Divide both sides by 5500\\(1.01)^{4n}=\dfrac{10000}{5500} \\$To solve for n, we change to logarithm form\\Log_{1.01}\dfrac{10000}{5500}=4n\\= \dfrac{ Log \dfrac{10000}{5500}}{Log 1.01}=4n\\4n=60.08\\n=60.08 \div 4\\n=15.02\\$Therefore, in 15.02 years, the account would be worth $10,000.$