Suppose $1750 is put into an account that pays an annual rate of 4.5%
compounded quarterly. How much will be in the account after 6 years?(round to the
hundredth place)

There will be $2288.98 in the account after 6 years

Step-by-step explanation:

We are given that $1750 is put into an account that pays an annual rate of 4.5%  compounded quarterly.

So, Principal = $1750

Rate of interest = 4.5%

No. of compounds per year = 4

Time = 6 years

Formula :

Where A = Amount

P = Principal

r = rate of interest

n = no. of compounds per year

t = time

Substitute the values in the formula :

A=2288.98

Hence There will be $2288.98 in the account after 6 years

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°