Hurry safiya deposited money into a bank account that earned 6.5% simple interest each year. after 3 1/2 years, she had earned $36.40 in interest on the account. if no other money was deposited into or withdrawn from the account, how much was her initial deposit?   enter your answer in the box

Hi there! So, if $36.40 in interest was in her account after 3.5 years, we can divide both numbers. 36.4/3.5 is 10.4. That's $10.40 in interest per year, with the rate of simple interest being 6.5%. But to make it easier, we can divide 10.40 by 6.5 to find the unit rate. When you divide both number, you get 1.6. 1% of the initial amount is $1.60. Percents are parts of 100. Multiply 1.6 by 100 to get 160. Now, let's divide the interest earned yearly by initial amount to see if it works. 10.4/160 is 0.065 or ^.5% when turned into decimal form. there. Safiya's initial deposit in the bank was $160.

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.