Abel and Zöe’s grandparents opened a savings account for an equal amount upon the birth of each child. Now, the values of their accounts could be found by the following expressions, where t represents the years since 2011. Abel: y = 1266.77(1.03)t Zöe: y = 1159.27(1.03)t Based upon this information, find the difference in the children’s ages. Abel is years older than Zöe.

Someone answer this asap rn for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

What are the domain and range of the function f(x)=2^x+1